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Least Common Multiple (LCM) of 183 and 187

The least common multiple (LCM) of 183 and 187 is 34221.

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 187?

First, calculate the GCD of 183 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 183 ÷ 187 = 0 remainder 183
2 187 ÷ 183 = 1 remainder 4
3 183 ÷ 4 = 45 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
88 and 301320
169 and 8013520
25 and 932325
123 and 1927872
137 and 16622742

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