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Least Common Multiple (LCM) of 39 and 134

The least common multiple (LCM) of 39 and 134 is 5226.

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 39 and 134?

First, calculate the GCD of 39 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 39 ÷ 134 = 0 remainder 39
2 134 ÷ 39 = 3 remainder 17
3 39 ÷ 17 = 2 remainder 5
4 17 ÷ 5 = 3 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
55 and 18210010
142 and 19928258
39 and 33429
172 and 43172
179 and 529308

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