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Least Common Multiple (LCM) of 159 and 138

The least common multiple (LCM) of 159 and 138 is 7314.

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 159 and 138?

First, calculate the GCD of 159 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 159 ÷ 138 = 1 remainder 21
2 138 ÷ 21 = 6 remainder 12
3 21 ÷ 12 = 1 remainder 9
4 12 ÷ 9 = 1 remainder 3
5 9 ÷ 3 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
155 and 12919995
123 and 141722
153 and 7010710
100 and 75300
143 and 19227456

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