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Least Common Multiple (LCM) of 52 and 23

The least common multiple (LCM) of 52 and 23 is 1196.

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 52 and 23?

First, calculate the GCD of 52 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 52 ÷ 23 = 2 remainder 6
2 23 ÷ 6 = 3 remainder 5
3 6 ÷ 5 = 1 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
185 and 74370
14 and 1452030
170 and 111870
174 and 481392
105 and 19320265

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