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Least Common Multiple (LCM) of 115 and 161

The least common multiple (LCM) of 115 and 161 is 805.

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 161?

First, calculate the GCD of 115 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 115 ÷ 161 = 0 remainder 115
2 161 ÷ 115 = 1 remainder 46
3 115 ÷ 46 = 2 remainder 23
4 46 ÷ 23 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
73 and 251825
174 and 541566
175 and 1455075
59 and 17810502
93 and 124372

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