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Least Common Multiple (LCM) of 199 and 62

The least common multiple (LCM) of 199 and 62 is 12338.

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 62?

First, calculate the GCD of 199 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 199 ÷ 62 = 3 remainder 13
2 62 ÷ 13 = 4 remainder 10
3 13 ÷ 10 = 1 remainder 3
4 10 ÷ 3 = 3 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
106 and 321696
192 and 14614016
194 and 10319982
124 and 1685208
67 and 855695

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