LCM for 56 and 64

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 56 and 64?

Answer: LCM of 56 and 64 is 448

(Four hundred forty-eight)

Finding LCM for 56 and 64 using GCF's of these numbers

The first method to find LCM for numbers 56 and 64 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 56 and 64 is 8, so

LCM = (56 × 64) ÷ 8

LCM = 3584 ÷ 8

LCM = 448

Finding LCM for 56 and 64 by Listing Multiples

The second method to find LCM for numbers 56 and 64 is to list out the common multiples for both nubmers and pick the first which matching:

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

Multiples of 64: 64, 128, 192, 256, 320, 384, 448, 512, 576

So the LCM for 56 and 64 is 448

Finding LCM for 56 and 64 by Prime Factorization

Another method to find LCM for numbers 56 and 64 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 64: 2, 2, 2, 2, 2, 2 (exponent form: 26)

26 × 71 = 448

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LCM Table

Number 1Number 2LCM
41642624
42641344
43642752
4464704
45642880
46641472
47643008
4864192
49643136
50641600
51643264
5264832
53643392
54641728
55643520
5664448
57643648
58641856
59643776
6064960
61643904
62641984
63644032
646464
65644160
66642112
67644288
68641088
69644416
70642240

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 56 and 64? (The answer is: 448). Select the first number (e.g. '56') and the second number (e.g. '64'). 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

and

FAQ

What's the Least Common Multiple (LCM) of 56 and 64?

LCM of 56 and 64 is 448

See Also