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Least Common Multiple (LCM) of 52 and 53

The least common multiple (LCM) of 52 and 53 is 2756.

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 53?

First, calculate the GCD of 52 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 52 ÷ 53 = 0 remainder 52
2 53 ÷ 52 = 1 remainder 1
3 52 ÷ 1 = 52 remainder 0

Examples of LCM Calculations

NumbersLCM
37 and 11407
76 and 1883572
83 and 1038549
152 and 544104
160 and 579120

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