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Least Common Multiple (LCM) of 82 and 97

The least common multiple (LCM) of 82 and 97 is 7954.

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 82 and 97?

First, calculate the GCD of 82 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 82 ÷ 97 = 0 remainder 82
2 97 ÷ 82 = 1 remainder 15
3 82 ÷ 15 = 5 remainder 7
4 15 ÷ 7 = 2 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
168 and 10840
73 and 564088
10 and 4590
198 and 1621782
16 and 88176

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