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Least Common Multiple (LCM) of 121 and 181

The least common multiple (LCM) of 121 and 181 is 21901.

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 181?

First, calculate the GCD of 121 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 121 ÷ 181 = 0 remainder 121
2 181 ÷ 121 = 1 remainder 60
3 121 ÷ 60 = 2 remainder 1
4 60 ÷ 1 = 60 remainder 0

Examples of LCM Calculations

NumbersLCM
110 and 522860
60 and 144720
65 and 78390
102 and 596018
147 and 1778673

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