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Least Common Multiple (LCM) of 117 and 28

The least common multiple (LCM) of 117 and 28 is 3276.

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 28?

First, calculate the GCD of 117 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 117 ÷ 28 = 4 remainder 5
2 28 ÷ 5 = 5 remainder 3
3 5 ÷ 3 = 1 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
85 and 1101870
130 and 60780
197 and 12725019
92 and 962208
113 and 17419662

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