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Least Common Multiple (LCM) of 91 and 55

The least common multiple (LCM) of 91 and 55 is 5005.

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 55?

First, calculate the GCD of 91 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 91 ÷ 55 = 1 remainder 36
2 55 ÷ 36 = 1 remainder 19
3 36 ÷ 19 = 1 remainder 17
4 19 ÷ 17 = 1 remainder 2
5 17 ÷ 2 = 8 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
148 and 15122348
21 and 1914011
98 and 1869114
110 and 422310
33 and 1274191

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