LCM for 56 and 208

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 56 and 208?

Answer: LCM of 56 and 208 is 1,456

(One thousand, four hundred fifty-six)

Finding LCM for 56 and 208 using GCF's of these numbers

The first method to find LCM for numbers 56 and 208 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 56 and 208 is 8, so

LCM = (56 × 208) ÷ 8

LCM = 11648 ÷ 8

LCM = 1456

Finding LCM for 56 and 208 by Listing Multiples

The second method to find LCM for numbers 56 and 208 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, 616, 672, 728, 784, 840, 896, 952, 1008, 1064, 1120, 1176, 1232, 1288, 1344, 1400, 1456, 1512, 1568

Multiples of 208: 208, 416, 624, 832, 1040, 1248, 1456, 1664, 1872

So the LCM for 56 and 208 is 1456

Finding LCM for 56 and 208 by Prime Factorization

Another method to find LCM for numbers 56 and 208 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 208: 2, 2, 2, 2, 13 (exponent form: 24, 131)

24 × 71 × 131 = 1456

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LCM Table

Number 1Number 2LCM
412088528
422084368
432088944
442082288
452089360
462084784
472089776
48208624
4920810192
502085200
5120810608
52208208
5320811024
542085616
5520811440
562081456
5720811856
582086032
5920812272
602083120
6120812688
622086448
6320813104
64208832
652081040
662086864
6720813936
682083536
6920814352
702087280

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 208? (The answer is: 1456). Select the first number (e.g. '56') and the second number (e.g. '208'). 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 208?

LCM of 56 and 208 is 1,456