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Least Common Multiple (LCM) of 183 and 174

The least common multiple (LCM) of 183 and 174 is 10614.

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 183 and 174?

First, calculate the GCD of 183 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 183 ÷ 174 = 1 remainder 9
2 174 ÷ 9 = 19 remainder 3
3 9 ÷ 3 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
159 and 16426076
187 and 16831416
167 and 6310521
45 and 1245580
64 and 1001600

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