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Least Common Multiple (LCM) of 72 and 159

The least common multiple (LCM) of 72 and 159 is 3816.

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 72 and 159?

First, calculate the GCD of 72 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 72 ÷ 159 = 0 remainder 72
2 159 ÷ 72 = 2 remainder 15
3 72 ÷ 15 = 4 remainder 12
4 15 ÷ 12 = 1 remainder 3
5 12 ÷ 3 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
126 and 49882
182 and 295278
56 and 1639128
92 and 1185428
179 and 6912351

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