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Least Common Multiple (LCM) of 196 and 199

The least common multiple (LCM) of 196 and 199 is 39004.

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 196 and 199?

First, calculate the GCD of 196 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 196 ÷ 199 = 0 remainder 196
2 199 ÷ 196 = 1 remainder 3
3 196 ÷ 3 = 65 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
196 and 6512740
183 and 16510065
137 and 618357
21 and 8484
184 and 5710488

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