Least Common Multiple Of 36

LCM of 36 and 42 is 252. The Least Common multiple or Lowest common multiple merely known as LCM is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 36 and 42, 252 is the beginning(to the lowest degree or smallest) number that is mutual in the set of multiples of 36 and 42. In that location are other common multiples out of which 252 is the smallest. The LCM is also known as LCD, Least Common Divisor for 36 and 42 is 252. You tin can read more than on LCM for farther details.

What is LCM of 36 and 42

The Least Common Multiple or Lowest Common Multiple of 36 and 42 is 252.

LCM of 36 and 42

How to Find LCM of 36 and 42?

LCM of 36 and 42 can be adamant using iii methods:

Prime Factorisation
Division method
List the multiples

LCM of 36 and 42 Using Prime Factorisation Method

In the Prime number Factorisation method, the numbers can exist expressed as the product of prime numbers. Here, 36 and 42 can exist expressed as;

36 = 2 x 2 10 three x 3

42 = 2 x 3 x 7

LCM (36, 42) = 2 x 2 10 3 ten 3 x 7 = 252

LCM of 36 and 42 Using Division Method

In the Partitioning Method, the given prepare of numbers are written in the same row separated by a comma. These numbers are divided with the smallest number that divides all until no farther division is possible or just when prime numbers are left.

two	36	42
3	xviii	21
2	6	7
three	3	7
vii	ane	7
x	ane	1

LCM (36, 42) = 2 x 2 ten three x 3 x 7 = 252

LCM of 36 and 42 Using Listing the Multiples

By listing all the multiples of given numbers, we can identify the first/smallest/least common multiple, which is the LCM. Beneath is the list of multiples for 36 and 42;

Multiples of 36	Multiples of 42
36	42
72	84
108	126
144	144
160	168
180	210
216	252
252	294
288	336
324	378

LCM (36, 42) = 252

Related Manufactures

LCM Figurer
LCM with Examples
HCF and LCM
LCM Formula
Prime Factorization and Division method

Video Lesson on Applications of LCM

Solved Examples

What is the smallest number that is divisible by both 36 and 42?

Answer: 252 is the smallest number that is divisible by both 36 and 42.

ii. What is the LCM for 1, 36 and 42?

Respond: LCM for one, 36 and 42 is 252.

Frequently Asked Questions on LCM of 36 and 42

What is the LCM of 36 and 42?

The LCM of 36 and 42 is 252.

Is the LCM of 36 and 42 the same as the HCF of 36 and 42?

No. Least Common Multiple of 36 and 42 is 252 and Highest Common Factor of 36 and 42 is half dozen.

What are the mutual factors of 36 and 42?

i, 2, 3 and 6 are the common factors of 36 and 42.