LCM for 36 and 63

What's the Least Common Multiple (LCM) of 36 and 63?

Answer: LCM of 36 and 63 is 252

(Two hundred fifty-two)

Finding LCM for 36 and 63 using GCF's of these numbers

The first method to find LCM for numbers 36 and 63 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 36 and 63 is 9, so

LCM = (36 × 63) ÷ 9

LCM = 2268 ÷ 9

LCM = 252

Finding LCM for 36 and 63 by Listing Multiples

The second method to find LCM for numbers 36 and 63 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324

Multiples of 63: 63, 126, 189, 252, 315, 378

So the LCM for 36 and 63 is 252

Finding LCM for 36 and 63 by Prime Factorization

Another method to find LCM for numbers 36 and 63 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 63: 3, 3, 7 (exponent form: 32, 71)

22 × 32 × 71 = 252

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 36 and 63? (The answer is: 252). Select the first number (e.g. '36') 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
2163
22631386
23631449
2463504
25631575
26631638
2763
2863
29631827
3063630
31631953
32632016
3363
34632142
3563315
3663
37632331
38632394
3963819
40632520
41632583
4263
43632709
44632772
4563
46632898
47632961
48631008
4963
50633150

FAQ

What's the Least Common Multiple (LCM) of 36 and 63?

LCM of 36 and 63 is 252