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Least Common Multiple (LCM) of 108 and 133

The least common multiple (LCM) of 108 and 133 is 14364.

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 133?

First, calculate the GCD of 108 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 108 ÷ 133 = 0 remainder 108
2 133 ÷ 108 = 1 remainder 25
3 108 ÷ 25 = 4 remainder 8
4 25 ÷ 8 = 3 remainder 1
5 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
177 and 16028320
123 and 657995
156 and 1022652
160 and 18614880
140 and 7911060

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