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Least Common Multiple (LCM) of 183 and 198

The least common multiple (LCM) of 183 and 198 is 12078.

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 198?

First, calculate the GCD of 183 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 183 ÷ 198 = 0 remainder 183
2 198 ÷ 183 = 1 remainder 15
3 183 ÷ 15 = 12 remainder 3
4 15 ÷ 3 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
194 and 5310282
28 and 1714788
95 and 736935
78 and 14546
142 and 16211502

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