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Least Common Multiple (LCM) of 199 and 34

The least common multiple (LCM) of 199 and 34 is 6766.

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 34?

First, calculate the GCD of 199 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 199 ÷ 34 = 5 remainder 29
2 34 ÷ 29 = 1 remainder 5
3 29 ÷ 5 = 5 remainder 4
4 5 ÷ 4 = 1 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
123 and 271107
126 and 16610458
113 and 414633
77 and 503850
169 and 589802

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