LCM for 39 and 45
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 39 and 45?
(Five hundred eighty-five)
Finding LCM for 39 and 45 using GCF's of these numbers
The first method to find LCM for numbers 39 and 45 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 39 and 45 is 3, so
LCM = (39 × 45) ÷ 3
LCM = 1755 ÷ 3
LCM = 585
Finding LCM for 39 and 45 by Listing Multiples
The second method to find LCM for numbers 39 and 45 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 39: 39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, 507, 546, 585, 624, 663
Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675
So the LCM for 39 and 45 is 585
Finding LCM for 39 and 45 by Prime Factorization
Another method to find LCM for numbers 39 and 45 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 39: 3, 13 (exponent form: 31, 131)
All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)
32 × 131 × 51 = 585
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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
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What's the Least Common Multiple (LCM) of 39 and 45?
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- Наименьшее общее кратное 39 и 45