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Least Common Multiple (LCM) of 156 and 86

The least common multiple (LCM) of 156 and 86 is 6708.

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 156 and 86?

First, calculate the GCD of 156 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 156 ÷ 86 = 1 remainder 70
2 86 ÷ 70 = 1 remainder 16
3 70 ÷ 16 = 4 remainder 6
4 16 ÷ 6 = 2 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
122 and 183366
194 and 121164
52 and 14364
145 and 16423780
82 and 301230

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