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Least Common Multiple (LCM) of 97 and 128

The least common multiple (LCM) of 97 and 128 is 12416.

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 128?

First, calculate the GCD of 97 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 97 ÷ 128 = 0 remainder 97
2 128 ÷ 97 = 1 remainder 31
3 97 ÷ 31 = 3 remainder 4
4 31 ÷ 4 = 7 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
172 and 457740
11 and 1521672
197 and 7113987
83 and 18014940
81 and 534293

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