Least Common Multiple (LCM) of 91 and 45
The least common multiple (LCM) of 91 and 45 is 4095.
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 91 and 45?
First, calculate the GCD of 91 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 45 = 2 remainder 1 |
| 2 | 45 ÷ 1 = 45 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 68 | 1564 |
| 31 and 72 | 2232 |
| 173 and 66 | 11418 |
| 128 and 132 | 4224 |
| 177 and 185 | 32745 |