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Least Common Multiple (LCM) of 41 and 155

The least common multiple (LCM) of 41 and 155 is 6355.

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 41 and 155?

First, calculate the GCD of 41 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 41 ÷ 155 = 0 remainder 41
2 155 ÷ 41 = 3 remainder 32
3 41 ÷ 32 = 1 remainder 9
4 32 ÷ 9 = 3 remainder 5
5 9 ÷ 5 = 1 remainder 4
6 5 ÷ 4 = 1 remainder 1
7 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
24 and 1212904
84 and 36252
83 and 433569
27 and 37999
192 and 128384

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