LCM for 56 and 90

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What's the Least Common Multiple (LCM) of 56 and 90?

Answer

LCM of 56 and 90 is
2,520

First common multiples: 2,520; 5,040; 7,560; …

2,520 is divisible by both: 2,520 ÷ 56 = 45; 2,520 ÷ 90 = 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/56 by 45 and of y/90 by 28.

56 = 23 × 7

90 = 2 × 32 × 5

Prime5690Highest power
223223
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 = 23 × 32 × 5 × 7 = 2,520

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LCM Table

Number 1Number 2LCM
56754,200
56761,064
5677616
56782,184
56794,424
5680560
56814,536
56822,296
56834,648
5684168
56854,760
56862,408
56874,872
5688616
56894,984
56902,520
5691728
56921,288
56935,208
56942,632
56955,320
5696672
56975,432
5698392
56995,544
561001,400
561015,656
561022,856
561035,768
56104728

FAQ

What's the Least Common Multiple (LCM) of 56 and 90?

LCM of 56 and 90 is 2,520

How to find the LCM of 56 and 90 using prime factorization?

To find the LCM of 56 and 90, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,520.

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 56 and 90: LCM = 2,520, GCF = 2.

See Also