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Least Common Multiple (LCM) of 108 and 167

The least common multiple (LCM) of 108 and 167 is 18036.

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 108 and 167?

First, calculate the GCD of 108 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 108 ÷ 167 = 0 remainder 108
2 167 ÷ 108 = 1 remainder 59
3 108 ÷ 59 = 1 remainder 49
4 59 ÷ 49 = 1 remainder 10
5 49 ÷ 10 = 4 remainder 9
6 10 ÷ 9 = 1 remainder 1
7 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
187 and 10118887
77 and 16012320
71 and 14510295
141 and 18526085
122 and 576954

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