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Least Common Multiple (LCM) of 193 and 45

The least common multiple (LCM) of 193 and 45 is 8685.

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 45?

First, calculate the GCD of 193 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 193 ÷ 45 = 4 remainder 13
2 45 ÷ 13 = 3 remainder 6
3 13 ÷ 6 = 2 remainder 1
4 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
192 and 16192
93 and 1414371
175 and 18332025
53 and 382014
73 and 201460

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