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Least Common Multiple (LCM) of 186 and 81

The least common multiple (LCM) of 186 and 81 is 5022.

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 186 and 81?

First, calculate the GCD of 186 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 186 ÷ 81 = 2 remainder 24
2 81 ÷ 24 = 3 remainder 9
3 24 ÷ 9 = 2 remainder 6
4 9 ÷ 6 = 1 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
93 and 191767
18 and 2472
22 and 1461606
43 and 783354
20 and 56280

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