LCM for 77 and 56

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What's the Least Common Multiple (LCM) of 77 and 56?

Answer

LCM of 77 and 56 is
616

First common multiples: 616; 1,232; 1,848; …

616 is divisible by both: 616 ÷ 77 = 8, 616 ÷ 56 = 11 — and 8 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/77 by 8 and of y/56 by 11.

77 = 7 × 11

56 = 23 × 7

Prime7756Highest power
2—2323
7777
1111—11

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

LCM = 23 × 7 × 11 = 616

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
77413,157
7742462
77433,311
7744308
77453,465
77463,542
77473,619
77483,696
7749539
77503,850
77513,927
77524,004
77534,081
77544,158
7755385
7756616
77574,389
77584,466
77594,543
77604,620
77614,697
77624,774
7763693
77644,928
77655,005
7766462
77675,159
77685,236
77695,313
7770770

FAQ

What's the Least Common Multiple (LCM) of 77 and 56?

LCM of 77 and 56 is 616

How to find the LCM of 77 and 56 using prime factorization?

To find the LCM of 77 and 56, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 616.

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 77 and 56: LCM = 616, GCF = 7.

See Also