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LCM for 36 and 42

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 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 numbers and pick the first one that matches:

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

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What is the LCM of 36 and 42?. The LCM of 36 and 42 is 252 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
36336
361836
362472
3627108
3628252
3640360
3642252
36431548
3644396
3645180
3646828
3648144
36491764
3651612
3652468
36531908
3654108
3656504
36581044
3660180
361121008
36120360
36144144

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

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

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

LCM of 36 and 42 is 252

How to find the LCM of 36 and 42 using prime factorization?

To find the LCM of 36 and 42, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 252.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 36 and 42: LCM = 252, GCF = 6.

See Also