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Least Common Multiple (LCM) of 86 and 96

The least common multiple (LCM) of 86 and 96 is 4128.

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 86 and 96?

First, calculate the GCD of 86 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 86 ÷ 96 = 0 remainder 86
2 96 ÷ 86 = 1 remainder 10
3 86 ÷ 10 = 8 remainder 6
4 10 ÷ 6 = 1 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
199 and 13727263
17 and 3434
187 and 15528985
74 and 441628
55 and 19910945

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