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Least Common Multiple (LCM) of 115 and 50

The least common multiple (LCM) of 115 and 50 is 1150.

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 50?

First, calculate the GCD of 115 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 115 ÷ 50 = 2 remainder 15
2 50 ÷ 15 = 3 remainder 5
3 15 ÷ 5 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
27 and 501350
144 and 48144
14 and 91182
131 and 16621746
105 and 1836405

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