LCM for 36 and 42

What's the Least Common Multiple (LCM) of 36 and 42?

Answer: LCM of 36 and 42 is 252

(Two hundred fifty-two)

Finding LCM for 36 and 42 using GCF's of these numbers

The first method to find LCM for numbers 36 and 42 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 36 and 42 is 6, so

LCM = (36 × 42) ÷ 6

LCM = 1512 ÷ 6

LCM = 252

Finding LCM for 36 and 42 by Listing Multiples

The second method to find LCM for numbers 36 and 42 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324

Multiples of 42: 42, 84, 126, 168, 210, 252, 294, 336

So the LCM for 36 and 42 is 252

Finding LCM for 36 and 42 by Prime Factorization

Another method to find LCM for numbers 36 and 42 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)

All Prime Factors of 42: 2, 3, 7 (exponent form: 21, 31, 71)

22 × 32 × 71 = 252

See Also

LCM Table

Number 1Number 2LCM
2142
2242462
2342966
2442
25421050
2642546
2742
2842
29421218
3042
31421302
3242
3342462
3442714
3542
3642
37421554
3842798
3942
4042840
41421722
424242
43421806
4442924
4542630
4642966
47421974
4842336
4942294
50421050

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 36 and 42? (The answer is: 252). Select the first number (e.g. '36') and the second number (e.g. '42'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

FAQ

What's the Least Common Multiple (LCM) of 36 and 42?

LCM of 36 and 42 is 252