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Least Common Multiple (LCM) of 190 and 171

The least common multiple (LCM) of 190 and 171 is 1710.

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 190 and 171?

First, calculate the GCD of 190 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 190 ÷ 171 = 1 remainder 19
2 171 ÷ 19 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
134 and 17323182
197 and 19839006
19 and 1603040
129 and 13417286
61 and 332013

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