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Least Common Multiple (LCM) of 97 and 107

The least common multiple (LCM) of 97 and 107 is 10379.

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 107?

First, calculate the GCD of 97 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 97 ÷ 107 = 0 remainder 97
2 107 ÷ 97 = 1 remainder 10
3 97 ÷ 10 = 9 remainder 7
4 10 ÷ 7 = 1 remainder 3
5 7 ÷ 3 = 2 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
137 and 8111097
25 and 27675
163 and 10717441
102 and 331122
159 and 406360

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