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Least Common Multiple (LCM) of 159 and 166

The least common multiple (LCM) of 159 and 166 is 26394.

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 166?

First, calculate the GCD of 159 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 159 ÷ 166 = 0 remainder 159
2 166 ÷ 159 = 1 remainder 7
3 159 ÷ 7 = 22 remainder 5
4 7 ÷ 5 = 1 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
191 and 17433234
53 and 552915
191 and 12924639
33 and 154462
80 and 393120

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