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Least Common Multiple (LCM) of 193 and 48

The least common multiple (LCM) of 193 and 48 is 9264.

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 48?

First, calculate the GCD of 193 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 193 ÷ 48 = 4 remainder 1
2 48 ÷ 1 = 48 remainder 0

Examples of LCM Calculations

NumbersLCM
79 and 463634
135 and 16622410
161 and 16927209
52 and 1357020
73 and 19113943

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