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Least Common Multiple (LCM) of 155 and 13

The least common multiple (LCM) of 155 and 13 is 2015.

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 13?

First, calculate the GCD of 155 and 13 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 155 ÷ 13 = 11 remainder 12
2 13 ÷ 12 = 1 remainder 1
3 12 ÷ 1 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
197 and 203940
153 and 527956
173 and 7212456
154 and 192926
120 and 572280

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