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Least Common Multiple (LCM) of 58 and 13

The least common multiple (LCM) of 58 and 13 is 754.

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 13?

First, calculate the GCD of 58 and 13 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 58 ÷ 13 = 4 remainder 6
2 13 ÷ 6 = 2 remainder 1
3 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
175 and 13223100
160 and 14211360
97 and 17917363
67 and 151005
49 and 361764

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