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Least Common Multiple (LCM) of 188 and 159

The least common multiple (LCM) of 188 and 159 is 29892.

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 188 and 159?

First, calculate the GCD of 188 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 188 ÷ 159 = 1 remainder 29
2 159 ÷ 29 = 5 remainder 14
3 29 ÷ 14 = 2 remainder 1
4 14 ÷ 1 = 14 remainder 0

Examples of LCM Calculations

NumbersLCM
33 and 176528
106 and 683604
171 and 19934029
153 and 301530
189 and 12122869

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