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Least Common Multiple (LCM) of 118 and 127

The least common multiple (LCM) of 118 and 127 is 14986.

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 118 and 127?

First, calculate the GCD of 118 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 118 ÷ 127 = 0 remainder 118
2 127 ÷ 118 = 1 remainder 9
3 118 ÷ 9 = 13 remainder 1
4 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
139 and 152085
153 and 13921267
69 and 402760
174 and 9115834
59 and 915369

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