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Least Common Multiple (LCM) of 155 and 39

The least common multiple (LCM) of 155 and 39 is 6045.

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 155 and 39?

First, calculate the GCD of 155 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 155 ÷ 39 = 3 remainder 38
2 39 ÷ 38 = 1 remainder 1
3 38 ÷ 1 = 38 remainder 0

Examples of LCM Calculations

NumbersLCM
99 and 585742
145 and 351015
193 and 468878
79 and 18514615
193 and 6813124

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