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Least Common Multiple (LCM) of 106 and 39

The least common multiple (LCM) of 106 and 39 is 4134.

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 106 and 39?

First, calculate the GCD of 106 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 106 ÷ 39 = 2 remainder 28
2 39 ÷ 28 = 1 remainder 11
3 28 ÷ 11 = 2 remainder 6
4 11 ÷ 6 = 1 remainder 5
5 6 ÷ 5 = 1 remainder 1
6 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
83 and 736059
53 and 1518003
58 and 1384002
75 and 812025
177 and 16729559

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