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Least Common Multiple (LCM) of 174 and 17

The least common multiple (LCM) of 174 and 17 is 2958.

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 174 and 17?

First, calculate the GCD of 174 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 174 ÷ 17 = 10 remainder 4
2 17 ÷ 4 = 4 remainder 1
3 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
31 and 1614991
197 and 12123837
188 and 1969212
31 and 1183658
176 and 518976

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