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Least Common Multiple (LCM) of 81 and 170

The least common multiple (LCM) of 81 and 170 is 13770.

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 170?

First, calculate the GCD of 81 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 81 ÷ 170 = 0 remainder 81
2 170 ÷ 81 = 2 remainder 8
3 81 ÷ 8 = 10 remainder 1
4 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
196 and 7915484
184 and 32736
22 and 731606
105 and 120840
187 and 6411968

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