LCM for 6 and 36
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 6 and 36?
(Thirty-six)
Finding LCM for 6 and 36 using GCF's of these numbers
The first method to find LCM for numbers 6 and 36 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 6 and 36 is 6, so
LCM = (6 × 36) ÷ 6
LCM = 216 ÷ 6
LCM = 36
Finding LCM for 6 and 36 by Listing Multiples
The second method to find LCM for numbers 6 and 36 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
Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, [...], 36
So the LCM for 6 and 36 is 36
Finding LCM for 6 and 36 by Prime Factorization
Another method to find LCM for numbers 6 and 36 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 36: 2, 2, 3, 3 (exponent form: 22, 32)
22 × 32 = 36
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 36?
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- Наименьшее общее кратное 6 и 36