LCM for 44 and 45

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What's the Least Common Multiple (LCM) of 44 and 45?

Answer

LCM of 44 and 45 is
1,980

First common multiples: 1,980; 3,960; 5,940; …

1,980 is divisible by both: 1,980 ÷ 44 = 45; 1,980 ÷ 45 = 44 — and 45 and 44 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/44 by 45 and of y/45 by 44.

44 and 45 are coprime (GCF = 1), so their LCM is simply the product: 44 × 45 = 1,980.

44 = 22 × 11

45 = 32 × 5

Prime4445Highest power
222—22
3—3232
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 = 22 × 32 × 5 × 11 = 1,980

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LCM Table

Number 1Number 2LCM
4430660
44311,364
4432352
4433132
4434748
44351,540
4436396
44371,628
4438836
44391,716
4440440
44411,804
4442924
44431,892
444444
44451,980
44461,012
44472,068
4448528
44492,156
44501,100
44512,244
4452572
44532,332
44541,188
4455220
4456616
44572,508
44581,276
44592,596

FAQ

What's the Least Common Multiple (LCM) of 44 and 45?

LCM of 44 and 45 is 1,980

How to find the LCM of 44 and 45 using prime factorization?

To find the LCM of 44 and 45, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,980.

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 44 and 45: LCM = 1,980, GCF = 1.

See Also