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Least Common Multiple (LCM) of 20 and 96

The least common multiple (LCM) of 20 and 96 is 480.

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 20 and 96?

First, calculate the GCD of 20 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 20 ÷ 96 = 0 remainder 20
2 96 ÷ 20 = 4 remainder 16
3 20 ÷ 16 = 1 remainder 4
4 16 ÷ 4 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
78 and 19915522
200 and 17935800
158 and 1068374
112 and 879744
116 and 596844

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