Least Common Multiple (LCM) of 81 and 187
The least common multiple (LCM) of 81 and 187 is 15147.
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 187?
First, calculate the GCD of 81 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 187 = 0 remainder 81 |
| 2 | 187 ÷ 81 = 2 remainder 25 |
| 3 | 81 ÷ 25 = 3 remainder 6 |
| 4 | 25 ÷ 6 = 4 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 158 | 15642 |
| 170 and 121 | 20570 |
| 114 and 19 | 114 |
| 141 and 110 | 15510 |
| 45 and 26 | 1170 |