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Least Common Multiple (LCM) of 57 and 97

The least common multiple (LCM) of 57 and 97 is 5529.

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 57 and 97?

First, calculate the GCD of 57 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 57 ÷ 97 = 0 remainder 57
2 97 ÷ 57 = 1 remainder 40
3 57 ÷ 40 = 1 remainder 17
4 40 ÷ 17 = 2 remainder 6
5 17 ÷ 6 = 2 remainder 5
6 6 ÷ 5 = 1 remainder 1
7 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
69 and 1077383
123 and 16119803
164 and 518364
183 and 17410614
190 and 14928310

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