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Least Common Multiple (LCM) of 81 and 161

The least common multiple (LCM) of 81 and 161 is 13041.

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 161?

First, calculate the GCD of 81 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 81 ÷ 161 = 0 remainder 81
2 161 ÷ 81 = 1 remainder 80
3 81 ÷ 80 = 1 remainder 1
4 80 ÷ 1 = 80 remainder 0

Examples of LCM Calculations

NumbersLCM
81 and 691863
153 and 19730141
42 and 1903990
158 and 1189322
107 and 778239

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