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Least Common Multiple (LCM) of 15 and 109

The least common multiple (LCM) of 15 and 109 is 1635.

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 15 and 109?

First, calculate the GCD of 15 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 15 ÷ 109 = 0 remainder 15
2 109 ÷ 15 = 7 remainder 4
3 15 ÷ 4 = 3 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
127 and 8310541
15 and 1932895
55 and 12660
174 and 17530450
145 and 401160

Try Calculating LCM of Other Numbers







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