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Least Common Multiple (LCM) of 117 and 15

The least common multiple (LCM) of 117 and 15 is 585.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 117 and 15?

First, calculate the GCD of 117 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 117 ÷ 15 = 7 remainder 12
2 15 ÷ 12 = 1 remainder 3
3 12 ÷ 3 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
35 and 98490
56 and 1103080
25 and 1423550
104 and 757800
12 and 102204

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