LCM for 42 and 63

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 42 and 63?

Answer

LCM of 42 and 63 is 126

(One hundred twenty-six)

Finding LCM for 42 and 63 using GCF of these numbers

The first method to find LCM for numbers 42 and 63 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 42 and 63 is 21, so

LCM = (42 × 63) ÷ 21

LCM = 2646 ÷ 21

LCM = 126

Finding LCM for 42 and 63 by Listing Multiples

The second method to find LCM for numbers 42 and 63 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

Multiples of 63: 63, 126, 189, 252

So the LCM for 42 and 63 is 126

Finding LCM for 42 and 63 by Prime Factorization

Another method to find LCM for numbers 42 and 63 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 63: 3, 3, 7 (exponent form: 32, 71)

21 × 32 × 71 = 126

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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 42 and 63? (The answer is: 126). Select the first number (e.g. '42') and the second number (e.g. '63'). 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

LCM Table

Number 1Number 2LCM
2763189
2863252
29631827
3063630
31631953
32632016
3363693
34632142
3563315
3663252
37632331
38632394
3963819
40632520
41632583
4263126
43632709
44632772
4563315
46632898
47632961
48631008
4963441
50633150
51631071
52633276
53633339
5463378
55633465
5663504

FAQ

What's the Least Common Multiple (LCM) of 42 and 63?

LCM of 42 and 63 is 126

How to find the LCM of 42 and 63 using prime factorization?

To find the LCM of 42 and 63, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 126.

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 63: LCM = 126, GCF = 21.

See Also