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Least Common Multiple (LCM) of 116 and 20

The least common multiple (LCM) of 116 and 20 is 580.

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 116 and 20?

First, calculate the GCD of 116 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 20 = 5 remainder 16
2 20 ÷ 16 = 1 remainder 4
3 16 ÷ 4 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
35 and 1465110
48 and 168336
95 and 18317385
84 and 140420
103 and 717313

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