LCM for 56 and 68

What's the Least Common Multiple (LCM) of 56 and 68?

Answer: LCM of 56 and 68 is 952

(Nine hundred fifty-two)

Finding LCM for 56 and 68 using GCF's of these numbers

The first method to find LCM for numbers 56 and 68 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 56 and 68 is 4, so

LCM = (56 × 68) ÷ 4

LCM = 3808 ÷ 4

LCM = 952

Finding LCM for 56 and 68 by Listing Multiples

The second method to find LCM for numbers 56 and 68 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

Multiples of 68: 68, 136, 204, 272, 340, 408, 476, 544, 612, 680, 748, 816, 884, 952, 1020, 1088

So the LCM for 56 and 68 is 952

Finding LCM for 56 and 68 by Prime Factorization

Another method to find LCM for numbers 56 and 68 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 68: 2, 2, 17 (exponent form: 22, 171)

23 × 71 × 171 = 952

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 56 and 68? (The answer is: 952). Select the first number (e.g. '56') and the second number (e.g. '68'). 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
41682788
42681428
43682924
4468748
45683060
46681564
47683196
4868816
49683332
50681700
5168
5268884
53683604
54681836
55683740
5668
57683876
58681972
59684012
60681020
61684148
62682108
63684284
64681088
65684420
66682244
67684556
686868
69684692
70682380

FAQ

What's the Least Common Multiple (LCM) of 56 and 68?

LCM of 56 and 68 is 952