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Least Common Multiple (LCM) of 173 and 174

The least common multiple (LCM) of 173 and 174 is 30102.

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 174?

First, calculate the GCD of 173 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 173 ÷ 174 = 0 remainder 173
2 174 ÷ 173 = 1 remainder 1
3 173 ÷ 1 = 173 remainder 0

Examples of LCM Calculations

NumbersLCM
145 and 1353915
153 and 101530
78 and 65390
96 and 30480
108 and 781404

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