LCM for 8, 24 and 36

"Least Common Multiple of 3 Numbers" Calculator
Least Common Multiple of
,
and

What's the Least Common Multiple (LCM) of 8, 24 and 36?

Answer

LCM of 8, 24 and 36 is
72

First common multiples: 72, 144, 216, …

72 is divisible by all three: 72 ÷ 8 = 9, 72 ÷ 24 = 3, 72 ÷ 36 = 2 — and 9, 3 and 2 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/8 by 9 and of y/24 by 3 and of z/36 by 2.

8 = 23

24 = 23 × 3

36 = 22 × 32

Prime82436Highest power
223232223
3—33232

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 23 × 32 = 72

More with these numbers

Related Calculations

See Also

LCM Table

1st2nd3rdLCM
82124168
82224264
82324552
8242424
82425600
82426312
82427216
82428168
82429696
82430120
82431744
8243296
82433264
82434408
82435840
8243672
82437888
82438456
82439312
82440120
82441984
82442168
824431,032
82444264
82445360
82446552
824471,128
8244848
824491,176
82450600

FAQ

What's the Least Common Multiple (LCM) of 8, 24 and 36?

LCM of 8, 24 and 36 is 72

How to find the LCM of 8, 24 and 36 by prime factorization?

Take every prime that appears in 8, 24 and 36 to the highest power it reaches in any one of them and multiply: 2³ × 3² = 72.

Can you get the LCM of 8, 24 and 36 two numbers at a time?

Yes. The LCM of 8 and 24 is 24, and the LCM of 24 and 36 is 72 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 72 divisible by 8, 24 and 36?

Yes, and by definition it is the smallest positive integer that is: 72 ÷ 8, 72 ÷ 24 and 72 ÷ 36 all come out whole. Any other common multiple of 8, 24 and 36 is a multiple of 72.

See Also