LCM for 56 and 224
What's the Least Common Multiple (LCM) of 56 and 224?
(Two hundred twenty-four)
Finding LCM for 56 and 224 using GCF's of these numbers
The first method to find LCM for numbers 56 and 224 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 56 and 224 is 56, so
LCM = (56 × 224) ÷ 56
LCM = 12544 ÷ 56
LCM = 224
Finding LCM for 56 and 224 by Listing Multiples
The second method to find LCM for numbers 56 and 224 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
Multiples of 224: 224, 448, 672, 896, 1120, 1344, [...], 224
So the LCM for 56 and 224 is 224
Finding LCM for 56 and 224 by Prime Factorization
Another method to find LCM for numbers 56 and 224 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 224: 2, 2, 2, 2, 2, 7 (exponent form: 25, 71)
25 × 71 = 224
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/56--224">What is the LCM of 56 and 224? - Calculatio</a>
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