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Least Common Multiple (LCM) of 68 and 199

The least common multiple (LCM) of 68 and 199 is 13532.

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 68 and 199?

First, calculate the GCD of 68 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 68 ÷ 199 = 0 remainder 68
2 199 ÷ 68 = 2 remainder 63
3 68 ÷ 63 = 1 remainder 5
4 63 ÷ 5 = 12 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
58 and 22638
62 and 16496
146 and 12117666
149 and 18627714
98 and 21294

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