Least Common Multiple (LCM) of 181 and 91
The least common multiple (LCM) of 181 and 91 is 16471.
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 181 and 91?
First, calculate the GCD of 181 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 91 = 1 remainder 90 |
| 2 | 91 ÷ 90 = 1 remainder 1 |
| 3 | 90 ÷ 1 = 90 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 37 | 4329 |
| 13 and 75 | 975 |
| 99 and 22 | 198 |
| 106 and 99 | 10494 |
| 83 and 126 | 10458 |