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Least Common Multiple (LCM) of 86 and 97

The least common multiple (LCM) of 86 and 97 is 8342.

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 86 and 97?

First, calculate the GCD of 86 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 86 ÷ 97 = 0 remainder 86
2 97 ÷ 86 = 1 remainder 11
3 86 ÷ 11 = 7 remainder 9
4 11 ÷ 9 = 1 remainder 2
5 9 ÷ 2 = 4 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
109 and 313379
21 and 91273
107 and 656955
143 and 20028600
48 and 27432

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