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Least Common Multiple (LCM) of 52 and 103

The least common multiple (LCM) of 52 and 103 is 5356.

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 103?

First, calculate the GCD of 52 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 52 ÷ 103 = 0 remainder 52
2 103 ÷ 52 = 1 remainder 51
3 52 ÷ 51 = 1 remainder 1
4 51 ÷ 1 = 51 remainder 0

Examples of LCM Calculations

NumbersLCM
68 and 17712036
76 and 18313908
94 and 522444
149 and 405960
100 and 16316300

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