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Least Common Multiple (LCM) of 16 and 86

The least common multiple (LCM) of 16 and 86 is 688.

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 16 and 86?

First, calculate the GCD of 16 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 16 ÷ 86 = 0 remainder 16
2 86 ÷ 16 = 5 remainder 6
3 16 ÷ 6 = 2 remainder 4
4 6 ÷ 4 = 1 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
135 and 1024590
80 and 1652640
173 and 183114
114 and 14516530
97 and 19018430

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