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Least Common Multiple (LCM) of 96 and 186

The least common multiple (LCM) of 96 and 186 is 2976.

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 96 and 186?

First, calculate the GCD of 96 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 96 ÷ 186 = 0 remainder 96
2 186 ÷ 96 = 1 remainder 90
3 96 ÷ 90 = 1 remainder 6
4 90 ÷ 6 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
110 and 864730
14 and 1841288
109 and 171853
172 and 1245332
123 and 1988118

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