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Least Common Multiple (LCM) of 155 and 81

The least common multiple (LCM) of 155 and 81 is 12555.

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 81?

First, calculate the GCD of 155 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 155 ÷ 81 = 1 remainder 74
2 81 ÷ 74 = 1 remainder 7
3 74 ÷ 7 = 10 remainder 4
4 7 ÷ 4 = 1 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
130 and 7910270
56 and 98392
59 and 724248
136 and 1041768
126 and 1114662

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