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Least Common Multiple (LCM) of 170 and 86

The least common multiple (LCM) of 170 and 86 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 170 and 86?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
119 and 13516065
199 and 12324477
189 and 135945
16 and 4080
31 and 641984

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