LCM for 48 and 56

What's the Least Common Multiple (LCM) of 48 and 56?

Answer: LCM of 48 and 56 is 336

(Three hundred thirty-six)

Finding LCM for 48 and 56 using GCF's of these numbers

The first method to find LCM for numbers 48 and 56 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 56 is 8, so

LCM = (48 × 56) ÷ 8

LCM = 2688 ÷ 8

LCM = 336

Finding LCM for 48 and 56 by Listing Multiples

The second method to find LCM for numbers 48 and 56 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432

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

So the LCM for 48 and 56 is 336

Finding LCM for 48 and 56 by Prime Factorization

Another method to find LCM for numbers 48 and 56 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

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

24 × 31 × 71 = 336

See Also

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 48 and 56? (The answer is: 336). Select the first number (e.g. '48') 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

LCM Table

Number 1Number 2LCM
33561848
3456952
3556
3656
37562072
38561064
39562184
4056
41562296
4256
43562408
4456616
45562520
46561288
47562632
4856
4956392
50561400
51562856
5256728
53562968
54561512
55563080
565656
57563192
58561624
59563304
6056840
61563416
62561736

FAQ

What's the Least Common Multiple (LCM) of 48 and 56?

LCM of 48 and 56 is 336