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Least Common Multiple (LCM) of 86 and 170

The least common multiple (LCM) of 86 and 170 is 7310.

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 170?

First, calculate the GCD of 86 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 86 ÷ 170 = 0 remainder 86
2 170 ÷ 86 = 1 remainder 84
3 86 ÷ 84 = 1 remainder 2
4 84 ÷ 2 = 42 remainder 0

Examples of LCM Calculations

NumbersLCM
23 and 43989
44 and 741628
40 and 38760
61 and 14854
87 and 33957

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