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LCM for 42 and 66

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 42 and 66?

Answer

LCM of 42 and 66 is 462

(Four hundred sixty-two)

Finding LCM for 42 and 66 using GCF of these numbers

The first method to find LCM for numbers 42 and 66 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 42 and 66 is 6, so

LCM = (42 × 66) ÷ 6

LCM = 2772 ÷ 6

LCM = 462

Finding LCM for 42 and 66 by Listing Multiples

The second method to find LCM for numbers 42 and 66 is to list out the common multiples for both numbers and pick the first one that matches:

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

Multiples of 66: 66, 132, 198, 264, 330, 396, 462, 528, 594

So the LCM for 42 and 66 is 462

Finding LCM for 42 and 66 by Prime Factorization

Another method to find LCM for numbers 42 and 66 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 66: 2, 3, 11 (exponent form: 21, 31, 111)

21 × 31 × 71 × 111 = 462

Related Calculations

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What is the LCM of 42 and 66?. Find the LCM of 42 and 66 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
2766594
2866924
29661914
3066330
31662046
32661056
336666
34661122
35662310
3666396
37662442
38661254
3966858
40661320
41662706
4266462
43662838
4466132
4566990
46661518
47663102
4866528
49663234
50661650
51661122
52661716
53663498
5466594
5566330
56661848

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 42 and 66? (The answer is: 462). Select the first number (e.g. '42') and the second number (e.g. '66'). 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 42 and 66?

LCM of 42 and 66 is 462

How to find the LCM of 42 and 66 using prime factorization?

To find the LCM of 42 and 66, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 462.

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 42 and 66: LCM = 462, GCF = 6.

See Also