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Least Common Multiple (LCM) of 81 and 46

The least common multiple (LCM) of 81 and 46 is 3726.

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 46?

First, calculate the GCD of 81 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 81 ÷ 46 = 1 remainder 35
2 46 ÷ 35 = 1 remainder 11
3 35 ÷ 11 = 3 remainder 2
4 11 ÷ 2 = 5 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
195 and 19137245
69 and 563864
101 and 15115251
33 and 1033399
74 and 1204440

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