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Least Common Multiple (LCM) of 158 and 110

The least common multiple (LCM) of 158 and 110 is 8690.

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 158 and 110?

First, calculate the GCD of 158 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 158 ÷ 110 = 1 remainder 48
2 110 ÷ 48 = 2 remainder 14
3 48 ÷ 14 = 3 remainder 6
4 14 ÷ 6 = 2 remainder 2
5 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
94 and 10910246
63 and 84252
55 and 1196545
199 and 10120099
18 and 1011818

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