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Least Common Multiple (LCM) of 58 and 20

The least common multiple (LCM) of 58 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 58 and 20?

First, calculate the GCD of 58 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 58 ÷ 20 = 2 remainder 18
2 20 ÷ 18 = 1 remainder 2
3 18 ÷ 2 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
24 and 123984
183 and 14827084
16 and 1592544
175 and 6210850
54 and 96864

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