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Least Common Multiple (LCM) of 193 and 91

The least common multiple (LCM) of 193 and 91 is 17563.

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 193 and 91?

First, calculate the GCD of 193 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 193 ÷ 91 = 2 remainder 11
2 91 ÷ 11 = 8 remainder 3
3 11 ÷ 3 = 3 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
105 and 17618480
163 and 294727
127 and 739271
15 and 59885
171 and 7011970

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