LCM for 56 and 80

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What's the Least Common Multiple (LCM) of 56 and 80?

Answer

LCM of 56 and 80 is
560

First common multiples: 560; 1,120; 1,680; …

560 is divisible by both: 560 ÷ 56 = 10, 560 ÷ 80 = 7 — and 10 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/56 by 10 and of y/80 by 7.

56 = 23 × 7

80 = 24 × 5

Prime5680Highest power
2232424
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 = 24 × 5 × 7 = 560

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LCM Table

Number 1Number 2LCM
56653,640
56661,848
56673,752
5668952
56693,864
5670280
56713,976
5672504
56734,088
56742,072
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

FAQ

What's the Least Common Multiple (LCM) of 56 and 80?

LCM of 56 and 80 is 560

How to find the LCM of 56 and 80 using prime factorization?

To find the LCM of 56 and 80, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 560.

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 80: LCM = 560, GCF = 8.

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