Least Common Multiple (LCM) of 91 and 127
The least common multiple (LCM) of 91 and 127 is 11557.
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 127?
First, calculate the GCD of 91 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 127 = 0 remainder 91 |
| 2 | 127 ÷ 91 = 1 remainder 36 |
| 3 | 91 ÷ 36 = 2 remainder 19 |
| 4 | 36 ÷ 19 = 1 remainder 17 |
| 5 | 19 ÷ 17 = 1 remainder 2 |
| 6 | 17 ÷ 2 = 8 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 31 | 4774 |
| 76 and 148 | 2812 |
| 50 and 53 | 2650 |
| 123 and 149 | 18327 |
| 103 and 168 | 17304 |