LCM for 40 and 56

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 40 and 56?

Answer: LCM of 40 and 56 is 280

(Two hundred eighty)

Finding LCM for 40 and 56 using GCF's of these numbers

The first method to find LCM for numbers 40 and 56 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 40 and 56 is 8, so

LCM = (40 × 56) ÷ 8

LCM = 2240 ÷ 8

LCM = 280

Finding LCM for 40 and 56 by Listing Multiples

The second method to find LCM for numbers 40 and 56 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360

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

So the LCM for 40 and 56 is 280

Finding LCM for 40 and 56 by Prime Factorization

Another method to find LCM for numbers 40 and 56 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 40: 2, 2, 2, 5 (exponent form: 23, 51)

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

23 × 51 × 71 = 280

Related Calculations

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 40 and 56? (The answer is: 280). Select the first number (e.g. '40') 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

and

LCM Table

Number 1Number 2LCM
25561400
2656728
27561512
285656
29561624
3056840
31561736
3256224
33561848
3456952
3556280
3656504
37562072
38561064
39562184
4056280
41562296
4256168
43562408
4456616
45562520
46561288
47562632
4856336
4956392
50561400
51562856
5256728
53562968
54561512

FAQ

What's the Least Common Multiple (LCM) of 40 and 56?

LCM of 40 and 56 is 280

See Also