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Least Common Multiple (LCM) of 139 and 99

The least common multiple (LCM) of 139 and 99 is 13761.

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 139 and 99?

First, calculate the GCD of 139 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 139 ÷ 99 = 1 remainder 40
2 99 ÷ 40 = 2 remainder 19
3 40 ÷ 19 = 2 remainder 2
4 19 ÷ 2 = 9 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
196 and 1849016
126 and 1322772
24 and 972328
161 and 13922379
80 and 1064240

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