HowManyNumbers Logo

Least Common Multiple (LCM) of 81 and 185

The least common multiple (LCM) of 81 and 185 is 14985.

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 185?

First, calculate the GCD of 81 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 81 ÷ 185 = 0 remainder 81
2 185 ÷ 81 = 2 remainder 23
3 81 ÷ 23 = 3 remainder 12
4 23 ÷ 12 = 1 remainder 11
5 12 ÷ 11 = 1 remainder 1
6 11 ÷ 1 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
173 and 15126123
86 and 522236
23 and 1252875
71 and 976887
118 and 18610974

Try Calculating LCM of Other Numbers







Related Calculators