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Least Common Multiple (LCM) of 86 and 146

The least common multiple (LCM) of 86 and 146 is 6278.

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 146?

First, calculate the GCD of 86 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 86 ÷ 146 = 0 remainder 86
2 146 ÷ 86 = 1 remainder 60
3 86 ÷ 60 = 1 remainder 26
4 60 ÷ 26 = 2 remainder 8
5 26 ÷ 8 = 3 remainder 2
6 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
142 and 18125702
115 and 131495
191 and 6412224
173 and 132249
191 and 8115471

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