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Least Common Multiple (LCM) of 187 and 96

The least common multiple (LCM) of 187 and 96 is 17952.

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 187 and 96?

First, calculate the GCD of 187 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 187 ÷ 96 = 1 remainder 91
2 96 ÷ 91 = 1 remainder 5
3 91 ÷ 5 = 18 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
155 and 6810540
140 and 719940
120 and 1651320
111 and 17319203
72 and 1017272

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