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Least Common Multiple (LCM) of 139 and 165

The least common multiple (LCM) of 139 and 165 is 22935.

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 165?

First, calculate the GCD of 139 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 139 ÷ 165 = 0 remainder 139
2 165 ÷ 139 = 1 remainder 26
3 139 ÷ 26 = 5 remainder 9
4 26 ÷ 9 = 2 remainder 8
5 9 ÷ 8 = 1 remainder 1
6 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
143 and 213003
51 and 1758925
45 and 371665
171 and 1623078
199 and 18436616

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