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Least Common Multiple (LCM) of 116 and 158

The least common multiple (LCM) of 116 and 158 is 9164.

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 116 and 158?

First, calculate the GCD of 116 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 158 = 0 remainder 116
2 158 ÷ 116 = 1 remainder 42
3 116 ÷ 42 = 2 remainder 32
4 42 ÷ 32 = 1 remainder 10
5 32 ÷ 10 = 3 remainder 2
6 10 ÷ 2 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
160 and 120480
132 and 536996
99 and 626138
135 and 7910665
18 and 671206

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