LCM for 42 and 96
What's the Least Common Multiple (LCM) of 42 and 96?
(Six hundred seventy-two)
Finding LCM for 42 and 96 using GCF's of these numbers
The first method to find LCM for numbers 42 and 96 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 42 and 96 is 6, so
LCM = (42 × 96) ÷ 6
LCM = 4032 ÷ 6
LCM = 672
Finding LCM for 42 and 96 by Listing Multiples
The second method to find LCM for numbers 42 and 96 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 42: 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630, 672, 714, 756
Multiples of 96: 96, 192, 288, 384, 480, 576, 672, 768, 864
So the LCM for 42 and 96 is 672
Finding LCM for 42 and 96 by Prime Factorization
Another method to find LCM for numbers 42 and 96 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 42: 2, 3, 7 (exponent form: 21, 31, 71)
All Prime Factors of 96: 2, 2, 2, 2, 2, 3 (exponent form: 25, 31)
25 × 31 × 71 = 672
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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