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Least Common Multiple (LCM) of 185 and 81

The least common multiple (LCM) of 185 and 81 is 14985.

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 185 and 81?

First, calculate the GCD of 185 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 185 ÷ 81 = 2 remainder 23
2 81 ÷ 23 = 3 remainder 12
3 23 ÷ 12 = 1 remainder 11
4 12 ÷ 11 = 1 remainder 1
5 11 ÷ 1 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
194 and 10410088
42 and 189378
67 and 1318777
144 and 441584
147 and 618967

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