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

(Six hundred sixteen)

Finding LCM for 77 and 56 using GCF of these numbers

The first method to find LCM for numbers 77 and 56 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 77 and 56 is 7, so

LCM = (77 × 56) ÷ 7

LCM = 4,312 ÷ 7

LCM = 616

Finding LCM for 77 and 56 by Listing Multiples

The second method to find LCM for numbers 77 and 56 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 77: 77, 154, 231, 308, 385, 462, 539, 616, 693, 770

Multiples of 56: 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728

So the LCM for 77 and 56 is 616

Finding LCM for 77 and 56 by Prime Factorization

Another method to find LCM for numbers 77 and 56 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 77: 7, 11 (exponent form: 71, 111)

All Prime Factors of 56: 2, 2, 2, 7 (exponent form: 23, 71)

71 × 111 × 23 = 616

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 77 and 56? (The answer is: 616). Select the first number (e.g. '77') and the second number (e.g. '56'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
Least Common Multiple of
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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