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Least Common Multiple (LCM) of 91 and 25

The least common multiple (LCM) of 91 and 25 is 2275.

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 91 and 25?

First, calculate the GCD of 91 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 91 ÷ 25 = 3 remainder 16
2 25 ÷ 16 = 1 remainder 9
3 16 ÷ 9 = 1 remainder 7
4 9 ÷ 7 = 1 remainder 2
5 7 ÷ 2 = 3 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
49 and 542646
135 and 324320
89 and 363204
200 and 1363400
193 and 509650

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