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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
156 and 1068268
28 and 1141596
28 and 1502100
131 and 17322663
56 and 48336

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