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Least Common Multiple (LCM) of 193 and 26

The least common multiple (LCM) of 193 and 26 is 5018.

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 26?

First, calculate the GCD of 193 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 193 ÷ 26 = 7 remainder 11
2 26 ÷ 11 = 2 remainder 4
3 11 ÷ 4 = 2 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
64 and 1745568
63 and 17010710
110 and 14115510
33 and 381254
57 and 251425

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