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Least Common Multiple (LCM) of 188 and 195

The least common multiple (LCM) of 188 and 195 is 36660.

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 188 and 195?

First, calculate the GCD of 188 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 188 ÷ 195 = 0 remainder 188
2 195 ÷ 188 = 1 remainder 7
3 188 ÷ 7 = 26 remainder 6
4 7 ÷ 6 = 1 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
18 and 1933474
21 and 36252
193 and 9117563
69 and 27621
28 and 1734844

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