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Least Common Multiple (LCM) of 138 and 101

The least common multiple (LCM) of 138 and 101 is 13938.

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 138 and 101?

First, calculate the GCD of 138 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 138 ÷ 101 = 1 remainder 37
2 101 ÷ 37 = 2 remainder 27
3 37 ÷ 27 = 1 remainder 10
4 27 ÷ 10 = 2 remainder 7
5 10 ÷ 7 = 1 remainder 3
6 7 ÷ 3 = 2 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
139 and 9312927
79 and 302370
193 and 10119493
65 and 211365
50 and 1082700

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