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Least Common Multiple (LCM) of 18 and 127

The least common multiple (LCM) of 18 and 127 is 2286.

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 18 and 127?

First, calculate the GCD of 18 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 18 ÷ 127 = 0 remainder 18
2 127 ÷ 18 = 7 remainder 1
3 18 ÷ 1 = 18 remainder 0

Examples of LCM Calculations

NumbersLCM
53 and 1497897
98 and 13713426
55 and 80880
39 and 702730
159 and 18954

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