LCM for 6 and 16
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 6 and 16?
(Forty-eight)
Finding LCM for 6 and 16 using GCF's of these numbers
The first method to find LCM for numbers 6 and 16 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 6 and 16 is 2, so
LCM = (6 × 16) ÷ 2
LCM = 96 ÷ 2
LCM = 48
Finding LCM for 6 and 16 by Listing Multiples
The second method to find LCM for numbers 6 and 16 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Multiples of 16: 16, 32, 48, 64, 80
So the LCM for 6 and 16 is 48
Finding LCM for 6 and 16 by Prime Factorization
Another method to find LCM for numbers 6 and 16 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 6: 2, 3 (exponent form: 21, 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
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What's the Least Common Multiple (LCM) of 6 and 16?
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- Наименьшее общее кратное 6 и 16