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Least Common Multiple (LCM) of 159 and 155

The least common multiple (LCM) of 159 and 155 is 24645.

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 155?

First, calculate the GCD of 159 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 159 ÷ 155 = 1 remainder 4
2 155 ÷ 4 = 38 remainder 3
3 4 ÷ 3 = 1 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
108 and 1123024
24 and 105840
27 and 1343618
66 and 2006600
20 and 100100

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