LCM for 33 and 40

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What's the Least Common Multiple (LCM) of 33 and 40?

Answer

LCM of 33 and 40 is
1,320

First common multiples: 1,320; 2,640; 3,960; …

1,320 is divisible by both: 1,320 ÷ 33 = 40; 1,320 ÷ 40 = 33 — and 40 and 33 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/33 by 40 and of y/40 by 33.

33 and 40 are coprime (GCF = 1), so their LCM is simply the product: 33 × 40 = 1,320.

33 = 3 × 11

40 = 23 × 5

Prime3340Highest power
2—2323
33—3
5—55
1111—11

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

LCM = 23 × 3 × 5 × 11 = 1,320

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LCM Table

Number 1Number 2LCM
33341,122
33351,155
33381,254
3339429
33401,320
33411,353
3342462
33431,419
3344132
33461,518
33501,650
33521,716
3355165
3377231
33121363

FAQ

What's the Least Common Multiple (LCM) of 33 and 40?

LCM of 33 and 40 is 1,320

How to find the LCM of 33 and 40 using prime factorization?

To find the LCM of 33 and 40, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,320.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 33 and 40: LCM = 1,320, GCF = 1.

See Also