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Least Common Multiple (LCM) of 101 and 81

The least common multiple (LCM) of 101 and 81 is 8181.

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 101 and 81?

First, calculate the GCD of 101 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 101 ÷ 81 = 1 remainder 20
2 81 ÷ 20 = 4 remainder 1
3 20 ÷ 1 = 20 remainder 0

Examples of LCM Calculations

NumbersLCM
18 and 114342
46 and 1343082
94 and 188188
101 and 19319493
126 and 90630

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