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Least Common Multiple (LCM) of 97 and 26

The least common multiple (LCM) of 97 and 26 is 2522.

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 26?

First, calculate the GCD of 97 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 97 ÷ 26 = 3 remainder 19
2 26 ÷ 19 = 1 remainder 7
3 19 ÷ 7 = 2 remainder 5
4 7 ÷ 5 = 1 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
175 and 15627300
87 and 13011310
196 and 1447056
25 and 1132825
175 and 14625550

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