Least Common Multiple (LCM) of 91 and 19
The least common multiple (LCM) of 91 and 19 is 1729.
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 19?
First, calculate the GCD of 91 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 19 = 4 remainder 15 |
| 2 | 19 ÷ 15 = 1 remainder 4 |
| 3 | 15 ÷ 4 = 3 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 74 | 13394 |
| 127 and 12 | 1524 |
| 104 and 125 | 13000 |
| 117 and 136 | 15912 |
| 63 and 20 | 1260 |