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Least Common Multiple (LCM) of 81 and 164

The least common multiple (LCM) of 81 and 164 is 13284.

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 164?

First, calculate the GCD of 81 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 81 ÷ 164 = 0 remainder 81
2 164 ÷ 81 = 2 remainder 2
3 81 ÷ 2 = 40 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
132 and 536996
154 and 161232
70 and 2001400
68 and 16110948
141 and 241128

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