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Least Common Multiple (LCM) of 170 and 199

The least common multiple (LCM) of 170 and 199 is 33830.

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 170 and 199?

First, calculate the GCD of 170 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 170 ÷ 199 = 0 remainder 170
2 199 ÷ 170 = 1 remainder 29
3 170 ÷ 29 = 5 remainder 25
4 29 ÷ 25 = 1 remainder 4
5 25 ÷ 4 = 6 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
39 and 51663
194 and 5510670
166 and 10517430
18 and 7272
93 and 18817484

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