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Least Common Multiple (LCM) of 121 and 155

The least common multiple (LCM) of 121 and 155 is 18755.

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 121 and 155?

First, calculate the GCD of 121 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 121 ÷ 155 = 0 remainder 121
2 155 ÷ 121 = 1 remainder 34
3 121 ÷ 34 = 3 remainder 19
4 34 ÷ 19 = 1 remainder 15
5 19 ÷ 15 = 1 remainder 4
6 15 ÷ 4 = 3 remainder 3
7 4 ÷ 3 = 1 remainder 1
8 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
143 and 11115873
151 and 9013590
101 and 373737
16 and 102816
171 and 18832148

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