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Least Common Multiple (LCM) of 58 and 52

The least common multiple (LCM) of 58 and 52 is 1508.

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 52?

First, calculate the GCD of 58 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 58 ÷ 52 = 1 remainder 6
2 52 ÷ 6 = 8 remainder 4
3 6 ÷ 4 = 1 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
14 and 1861302
101 and 10810908
161 and 14222862
182 and 14125662
182 and 1561092

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