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Least Common Multiple (LCM) of 168 and 159

The least common multiple (LCM) of 168 and 159 is 8904.

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 168 and 159?

First, calculate the GCD of 168 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 168 ÷ 159 = 1 remainder 9
2 159 ÷ 9 = 17 remainder 6
3 9 ÷ 6 = 1 remainder 3
4 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
134 and 8511390
83 and 18715521
20 and 1020
183 and 17632208
104 and 13714248

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