LCM for 28 and 45

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What's the Least Common Multiple (LCM) of 28 and 45?

Answer

LCM of 28 and 45 is
1,260

First common multiples: 1,260; 2,520; 3,780; …

1,260 is divisible by both: 1,260 ÷ 28 = 45; 1,260 ÷ 45 = 28 — and 45 and 28 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/28 by 45 and of y/45 by 28.

28 and 45 are coprime (GCF = 1), so their LCM is simply the product: 28 × 45 = 1,260.

28 = 22 × 7

45 = 32 × 5

Prime2845Highest power
222—22
3—3232
5—55
77—7

— = 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 × 7 = 1,260

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LCM Table

Number 1Number 2LCM
2829812
2830420
2831868
2832224
2834476
2835140
2836252
2838532
2840280
28411,148
284284
28431,204
28451,260
2846644
2848336
2849196
2850700
28511,428
2852364
2854756
285656
28571,596
2858812
28591,652
2860420
2863252
2864448
2870140
2872504
2880560

FAQ

What's the Least Common Multiple (LCM) of 28 and 45?

LCM of 28 and 45 is 1,260

How to find the LCM of 28 and 45 using prime factorization?

To find the LCM of 28 and 45, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,260.

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 28 and 45: LCM = 1,260, GCF = 1.

See Also