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Least Common Multiple (LCM) of 134 and 108

The least common multiple (LCM) of 134 and 108 is 7236.

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 134 and 108?

First, calculate the GCD of 134 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 134 ÷ 108 = 1 remainder 26
2 108 ÷ 26 = 4 remainder 4
3 26 ÷ 4 = 6 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
34 and 1615474
169 and 12320787
132 and 16321516
28 and 1373836
115 and 748510

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