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Least Common Multiple (LCM) of 81 and 23

The least common multiple (LCM) of 81 and 23 is 1863.

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 81 and 23?

First, calculate the GCD of 81 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
142 and 1409940
72 and 1883384
187 and 275049
50 and 45450
81 and 16413284

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