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Least Common Multiple (LCM) of 166 and 118

The least common multiple (LCM) of 166 and 118 is 9794.

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 166 and 118?

First, calculate the GCD of 166 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 166 ÷ 118 = 1 remainder 48
2 118 ÷ 48 = 2 remainder 22
3 48 ÷ 22 = 2 remainder 4
4 22 ÷ 4 = 5 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
167 and 274509
86 and 1004300
21 and 1442
194 and 807760
153 and 1206120

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