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Least Common Multiple (LCM) of 97 and 83

The least common multiple (LCM) of 97 and 83 is 8051.

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 97 and 83?

First, calculate the GCD of 97 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 97 ÷ 83 = 1 remainder 14
2 83 ÷ 14 = 5 remainder 13
3 14 ÷ 13 = 1 remainder 1
4 13 ÷ 1 = 13 remainder 0

Examples of LCM Calculations

NumbersLCM
135 and 852295
37 and 291073
104 and 17518200
95 and 801520
171 and 172907

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