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Least Common Multiple (LCM) of 159 and 22

The least common multiple (LCM) of 159 and 22 is 3498.

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 22?

First, calculate the GCD of 159 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 159 ÷ 22 = 7 remainder 5
2 22 ÷ 5 = 4 remainder 2
3 5 ÷ 2 = 2 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
136 and 463128
76 and 654940
177 and 7413098
57 and 341938
64 and 956080

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