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Least Common Multiple (LCM) of 160 and 86

The least common multiple (LCM) of 160 and 86 is 6880.

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 160 and 86?

First, calculate the GCD of 160 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 160 ÷ 86 = 1 remainder 74
2 86 ÷ 74 = 1 remainder 12
3 74 ÷ 12 = 6 remainder 2
4 12 ÷ 2 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
24 and 13312
188 and 482256
141 and 1989306
184 and 1326072
159 and 314929

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