LCM for 8, 24 and 32

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

What's the Least Common Multiple (LCM) of 8, 24 and 32?

Answer

LCM of 8, 24 and 32 is
96

First common multiples: 96, 192, 288, …

96 is divisible by all three: 96 ÷ 8 = 12, 96 ÷ 24 = 4, 96 ÷ 32 = 3 — and 12, 4 and 3 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 12 and of y/24 by 4 and of z/32 by 3.

8 = 23

24 = 23 × 3

32 = 25

Prime82432Highest power
223232525
3—3—3

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

LCM = 25 × 3 = 96

More with these numbers

Related Calculations

See Also

LCM Table

1st2nd3rdLCM
81724408
8182472
81924456
82024120
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

FAQ

What's the Least Common Multiple (LCM) of 8, 24 and 32?

LCM of 8, 24 and 32 is 96

How to find the LCM of 8, 24 and 32 by prime factorization?

Take every prime that appears in 8, 24 and 32 to the highest power it reaches in any one of them and multiply: 2⁵ × 3 = 96.

Can you get the LCM of 8, 24 and 32 two numbers at a time?

Yes. The LCM of 8 and 24 is 24, and the LCM of 24 and 32 is 96 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 96 divisible by 8, 24 and 32?

Yes, and by definition it is the smallest positive integer that is: 96 ÷ 8, 96 ÷ 24 and 96 ÷ 32 all come out whole. Any other common multiple of 8, 24 and 32 is a multiple of 96.

See Also