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Least Common Multiple (LCM) of 187 and 183

The least common multiple (LCM) of 187 and 183 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 187 and 183?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
122 and 698418
143 and 11416302
20 and 1432860
81 and 2781
42 and 1652310

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