LCM for 42 and 48
What's the Least Common Multiple (LCM) of 42 and 48?
Answer
(Three hundred thirty-six)
Finding LCM for 42 and 48 using GCF of these numbers
The first method to find LCM for numbers 42 and 48 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 42 and 48 is 6, so
LCM = (42 × 48) ÷ 6
LCM = 2016 ÷ 6
LCM = 336
Finding LCM for 42 and 48 by Listing Multiples
The second method to find LCM for numbers 42 and 48 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 42: 42, 84, 126, 168, 210, 252, 294, 336, 378, 420
Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432
So the LCM for 42 and 48 is 336
Finding LCM for 42 and 48 by Prime Factorization
Another method to find LCM for numbers 42 and 48 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 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)
24 × 31 × 71 = 336
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/42--48">What is the LCM of 42 and 48? - Calculatio</a>
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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