LCM for 21 and 63

What's the Least Common Multiple (LCM) of 21 and 63?

Answer: LCM of 21 and 63 is 63

(Sixty-three)

Finding LCM for 21 and 63 using GCF's of these numbers

The first method to find LCM for numbers 21 and 63 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 21 and 63 is 21, so

LCM = (21 × 63) ÷ 21

LCM = 1323 ÷ 21

LCM = 63

Finding LCM for 21 and 63 by Listing Multiples

The second method to find LCM for numbers 21 and 63 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 21: 21, 42, 63, 84, 105

Multiples of 63: 63, 126, 189, 252, 315, [...], 63

So the LCM for 21 and 63 is 63

Finding LCM for 21 and 63 by Prime Factorization

Another method to find LCM for numbers 21 and 63 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 63: 3, 3, 7 (exponent form: 32, 71)

32 × 71 = 63

See Also

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 21 and 63? (The answer is: 63). Select the first number (e.g. '21') 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

LCM Table

Number 1Number 2LCM
663126
76363
863504
96363
1063630
1163693
1263252
1363819
1463
1563315
16631008
17631071
1863126
19631197
20631260
2163
22631386
23631449
2463504
25631575
26631638
2763
2863
29631827
3063630
31631953
32632016
3363
34632142
3563315

FAQ

What's the Least Common Multiple (LCM) of 21 and 63?

LCM of 21 and 63 is 63