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Least Common Multiple (LCM) of 171 and 174

The least common multiple (LCM) of 171 and 174 is 9918.

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 171 and 174?

First, calculate the GCD of 171 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 174 = 0 remainder 171
2 174 ÷ 171 = 1 remainder 3
3 171 ÷ 3 = 57 remainder 0

Examples of LCM Calculations

NumbersLCM
117 and 11613572
162 and 1169396
137 and 15320961
119 and 101190
159 and 1025406

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