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Least Common Multiple (LCM) of 115 and 141

The least common multiple (LCM) of 115 and 141 is 16215.

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 115 and 141?

First, calculate the GCD of 115 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 115 ÷ 141 = 0 remainder 115
2 141 ÷ 115 = 1 remainder 26
3 115 ÷ 26 = 4 remainder 11
4 26 ÷ 11 = 2 remainder 4
5 11 ÷ 4 = 2 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
195 and 45585
166 and 15012450
168 and 1245208
151 and 9714647
173 and 14825604

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