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Least Common Multiple (LCM) of 193 and 188

The least common multiple (LCM) of 193 and 188 is 36284.

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 188?

First, calculate the GCD of 193 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 193 ÷ 188 = 1 remainder 5
2 188 ÷ 5 = 37 remainder 3
3 5 ÷ 3 = 1 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
90 and 1044680
41 and 1968036
172 and 9917028
12 and 188564
123 and 17922017

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