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Least Common Multiple (LCM) of 133 and 108

The least common multiple (LCM) of 133 and 108 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 133 and 108?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
90 and 15113590
86 and 1767568
157 and 8713659
155 and 19830690
153 and 8212546

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