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Least Common Multiple (LCM) of 118 and 158

The least common multiple (LCM) of 118 and 158 is 9322.

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 158?

First, calculate the GCD of 118 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 118 ÷ 158 = 0 remainder 118
2 158 ÷ 118 = 1 remainder 40
3 118 ÷ 40 = 2 remainder 38
4 40 ÷ 38 = 1 remainder 2
5 38 ÷ 2 = 19 remainder 0

Examples of LCM Calculations

NumbersLCM
49 and 2009800
173 and 305190
119 and 17821182
66 and 1645412
77 and 675159

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