Least Common Multiple (LCM) of 111 and 127
The least common multiple (LCM) of 111 and 127 is 14097.
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 111 and 127?
First, calculate the GCD of 111 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 127 = 0 remainder 111 |
| 2 | 127 ÷ 111 = 1 remainder 16 |
| 3 | 111 ÷ 16 = 6 remainder 15 |
| 4 | 16 ÷ 15 = 1 remainder 1 |
| 5 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 56 | 7672 |
| 168 and 83 | 13944 |
| 13 and 89 | 1157 |
| 48 and 118 | 2832 |
| 123 and 30 | 1230 |