LCM for 12 and 39
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 12 and 39?
Answer
(One hundred fifty-six)
Finding LCM for 12 and 39 using GCF of these numbers
The first method to find LCM for numbers 12 and 39 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 12 and 39 is 3, so
LCM = (12 × 39) ÷ 3
LCM = 468 ÷ 3
LCM = 156
Finding LCM for 12 and 39 by Listing Multiples
The second method to find LCM for numbers 12 and 39 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180
Multiples of 39: 39, 78, 117, 156, 195, 234
So the LCM for 12 and 39 is 156
Finding LCM for 12 and 39 by Prime Factorization
Another method to find LCM for numbers 12 and 39 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 12: 2, 2, 3 (exponent form: 22, 31)
All Prime Factors of 39: 3, 13 (exponent form: 31, 131)
22 × 31 × 131 = 156
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 12 and 39?
How to find the LCM of 12 and 39 using prime factorization?
What is the difference between LCM and GCF?
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