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Least Common Multiple (LCM) of 173 and 178

The least common multiple (LCM) of 173 and 178 is 30794.

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 173 and 178?

First, calculate the GCD of 173 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 173 ÷ 178 = 0 remainder 173
2 178 ÷ 173 = 1 remainder 5
3 173 ÷ 5 = 34 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
125 and 19624500
90 and 1366120
67 and 19412998
193 and 19036670
71 and 221562

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