LCM for 39 and 42

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What's the Least Common Multiple (LCM) of 39 and 42?

Answer

LCM of 39 and 42 is
546

(Five hundred forty-six)

Finding LCM for 39 and 42 using GCF of these numbers

The first method to find LCM for numbers 39 and 42 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 39 and 42 is 3, so

LCM = (39 × 42) ÷ 3

LCM = 1,638 ÷ 3

LCM = 546

Finding LCM for 39 and 42 by Listing Multiples

The second method to find LCM for numbers 39 and 42 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 39: 39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, 507, 546, 585, 624

Multiples of 42: 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630

So the LCM for 39 and 42 is 546

Finding LCM for 39 and 42 by Prime Factorization

Another method to find LCM for numbers 39 and 42 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 39: 3, 13 (exponent form: 31, 131)

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

31 × 131 × 21 × 71 = 546

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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 39 and 42? (The answer is: 546). Select the first number (e.g. '39') 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
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LCM Table

Number 1Number 2LCM
3927351
39281,092
39291,131
3930390
39311,209
39321,248
3933429
39341,326
39351,365
3936468
39371,443
39381,482
393939
39401,560
39411,599
3942546
39431,677
39441,716
3945585
39461,794
39471,833
3948624
39491,911
39501,950
3951663
3952156
39532,067
3954702
39552,145
39562,184

FAQ

What's the Least Common Multiple (LCM) of 39 and 42?

LCM of 39 and 42 is 546

How to find the LCM of 39 and 42 using prime factorization?

To find the LCM of 39 and 42, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 546.

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 39 and 42: LCM = 546, GCF = 3.

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