LCM for 56 and 70

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 56 and 70?

Answer

LCM of 56 and 70 is
280

First common multiples: 280, 560, 840, …

280 is divisible by both: 280 ÷ 56 = 5, 280 ÷ 70 = 4 — and 5 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/56 by 5 and of y/70 by 4.

56 = 23 × 7

70 = 2 × 5 × 7

Prime5670Highest power
223223
5—55
7777

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

LCM = 23 × 5 × 7 = 280

More with these numbers

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
56553,080
565656
56573,192
56581,624
56593,304
5660840
56613,416
56621,736
5663504
5664448
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

FAQ

What's the Least Common Multiple (LCM) of 56 and 70?

LCM of 56 and 70 is 280

How to find the LCM of 56 and 70 using prime factorization?

To find the LCM of 56 and 70, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 280.

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 70: LCM = 280, GCF = 14.

See Also