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Least Common Multiple (LCM) of 181 and 120

The least common multiple (LCM) of 181 and 120 is 21720.

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 181 and 120?

First, calculate the GCD of 181 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 181 ÷ 120 = 1 remainder 61
2 120 ÷ 61 = 1 remainder 59
3 61 ÷ 59 = 1 remainder 2
4 59 ÷ 2 = 29 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
41 and 732993
116 and 1724988
141 and 994653
100 and 90900
167 and 18130227

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