LCM for 24 and 16
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 24 and 16?
(Forty-eight)
Finding LCM for 24 and 16 using GCF's of these numbers
The first method to find LCM for numbers 24 and 16 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 24 and 16 is 8, so
LCM = (24 × 16) ÷ 8
LCM = 384 ÷ 8
LCM = 48
Finding LCM for 24 and 16 by Listing Multiples
The second method to find LCM for numbers 24 and 16 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 24: 24, 48, 72, 96
Multiples of 16: 16, 32, 48, 64, 80
So the LCM for 24 and 16 is 48
Finding LCM for 24 and 16 by Prime Factorization
Another method to find LCM for numbers 24 and 16 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 24: 2, 2, 2, 3 (exponent form: 23, 31)
All Prime Factors of 16: 2, 2, 2, 2 (exponent form: 24)
24 × 31 = 48
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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
"Least Common Multiple" Calculator
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 24 and 16?
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- Наименьшее общее кратное 24 и 16