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Least Common Multiple (LCM) of 36 and 52

The least common multiple (LCM) of 36 and 52 is 468.

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 36 and 52?

First, calculate the GCD of 36 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 52 = 0 remainder 36
2 52 ÷ 36 = 1 remainder 16
3 36 ÷ 16 = 2 remainder 4
4 16 ÷ 4 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
133 and 263458
59 and 20011800
107 and 18219474
37 and 873219
179 and 6912351

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