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Least Common Multiple (LCM) of 115 and 110

The least common multiple (LCM) of 115 and 110 is 2530.

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 110?

First, calculate the GCD of 115 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 115 ÷ 110 = 1 remainder 5
2 110 ÷ 5 = 22 remainder 0

Examples of LCM Calculations

NumbersLCM
157 and 157157
53 and 1698957
142 and 14410224
36 and 11396
15 and 1462190

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