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Least Common Multiple (LCM) of 115 and 114

The least common multiple (LCM) of 115 and 114 is 13110.

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 114?

First, calculate the GCD of 115 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 115 ÷ 114 = 1 remainder 1
2 114 ÷ 1 = 114 remainder 0

Examples of LCM Calculations

NumbersLCM
81 and 221782
22 and 1052310
61 and 19211712
163 and 19030970
185 and 336105

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