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Least Common Multiple (LCM) of 15 and 127

The least common multiple (LCM) of 15 and 127 is 1905.

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 127?

First, calculate the GCD of 15 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 15 ÷ 127 = 0 remainder 15
2 127 ÷ 15 = 8 remainder 7
3 15 ÷ 7 = 2 remainder 1
4 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
48 and 45720
47 and 11517
135 and 501350
175 and 16629050
86 and 1325676

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