LCM for 32 and 66

What's the Least Common Multiple (LCM) of 32 and 66?

Answer: LCM of 32 and 66 is 1,056

(One thousand, fifty-six)

Finding LCM for 32 and 66 using GCF's of these numbers

The first method to find LCM for numbers 32 and 66 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 32 and 66 is 2, so

LCM = (32 × 66) ÷ 2

LCM = 2112 ÷ 2

LCM = 1056

Finding LCM for 32 and 66 by Listing Multiples

The second method to find LCM for numbers 32 and 66 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 32: 32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480, 512, 544, 576, 608, 640, 672, 704, 736, 768, 800, 832, 864, 896, 928, 960, 992, 1024, 1056, 1088, 1120

Multiples of 66: 66, 132, 198, 264, 330, 396, 462, 528, 594, 660, 726, 792, 858, 924, 990, 1056, 1122, 1188

So the LCM for 32 and 66 is 1056

Finding LCM for 32 and 66 by Prime Factorization

Another method to find LCM for numbers 32 and 66 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 32: 2, 2, 2, 2, 2 (exponent form: 25)

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

25 × 31 × 111 = 1056

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 32 and 66? (The answer is: 1056). Select the first number (e.g. '32') 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

LCM Table

Number 1Number 2LCM
17661122
1866198
19661254
2066660
2166462
226666
23661518
2466264
25661650
2666858
2766594
2866924
29661914
3066330
31662046
3266
336666
34661122
35662310
3666396
37662442
38661254
3966858
40661320
41662706
4266
43662838
4466
4566990
46661518

FAQ

What's the Least Common Multiple (LCM) of 32 and 66?

LCM of 32 and 66 is 1,056