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Least Common Multiple (LCM) of 199 and 195

The least common multiple (LCM) of 199 and 195 is 38805.

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 199 and 195?

First, calculate the GCD of 199 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 199 ÷ 195 = 1 remainder 4
2 195 ÷ 4 = 48 remainder 3
3 4 ÷ 3 = 1 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
73 and 946862
62 and 1745394
95 and 30570
106 and 1407420
59 and 1247316

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