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Least Common Multiple (LCM) of 187 and 195

The least common multiple (LCM) of 187 and 195 is 36465.

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 187 and 195?

First, calculate the GCD of 187 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 187 ÷ 195 = 0 remainder 187
2 195 ÷ 187 = 1 remainder 8
3 187 ÷ 8 = 23 remainder 3
4 8 ÷ 3 = 2 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
99 and 16616434
108 and 252700
88 and 1242728
186 and 322976
80 and 60240

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