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Least Common Multiple (LCM) of 127 and 139

The least common multiple (LCM) of 127 and 139 is 17653.

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 127 and 139?

First, calculate the GCD of 127 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 127 ÷ 139 = 0 remainder 127
2 139 ÷ 127 = 1 remainder 12
3 127 ÷ 12 = 10 remainder 7
4 12 ÷ 7 = 1 remainder 5
5 7 ÷ 5 = 1 remainder 2
6 5 ÷ 2 = 2 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
165 and 10617490
160 and 17928640
128 and 597552
136 and 9112376
96 and 743552

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