LCM for 56 and 168
What's the Least Common Multiple (LCM) of 56 and 168?
(One hundred sixty-eight)
Finding LCM for 56 and 168 using GCF's of these numbers
The first method to find LCM for numbers 56 and 168 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 56 and 168 is 56, so
LCM = (56 × 168) ÷ 56
LCM = 9408 ÷ 56
LCM = 168
Finding LCM for 56 and 168 by Listing Multiples
The second method to find LCM for numbers 56 and 168 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 56: 56, 112, 168, 224, 280
Multiples of 168: 168, 336, 504, 672, 840, [...], 168
So the LCM for 56 and 168 is 168
Finding LCM for 56 and 168 by Prime Factorization
Another method to find LCM for numbers 56 and 168 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 168: 2, 2, 2, 3, 7 (exponent form: 23, 31, 71)
23 × 71 × 31 = 168
Related Calculations
LCM Table
About "Least Common Multiple" Calculator
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