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Least Common Multiple (LCM) of 86 and 186

The least common multiple (LCM) of 86 and 186 is 7998.

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 186?

First, calculate the GCD of 86 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 86 ÷ 186 = 0 remainder 86
2 186 ÷ 86 = 2 remainder 14
3 86 ÷ 14 = 6 remainder 2
4 14 ÷ 2 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
186 and 1049672
139 and 435977
29 and 1384002
51 and 27459
155 and 15123405

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