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Least Common Multiple (LCM) of 115 and 93

The least common multiple (LCM) of 115 and 93 is 10695.

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 93?

First, calculate the GCD of 115 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 115 ÷ 93 = 1 remainder 22
2 93 ÷ 22 = 4 remainder 5
3 22 ÷ 5 = 4 remainder 2
4 5 ÷ 2 = 2 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
150 and 421050
41 and 773157
91 and 11810738
165 and 198990
152 and 12318696

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