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Least Common Multiple (LCM) of 198 and 191

The least common multiple (LCM) of 198 and 191 is 37818.

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 198 and 191?

First, calculate the GCD of 198 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 198 ÷ 191 = 1 remainder 7
2 191 ÷ 7 = 27 remainder 2
3 7 ÷ 2 = 3 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
36 and 1582844
109 and 19421146
68 and 1242108
148 and 537844
165 and 784290

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