Least Common Multiple (LCM) of 127 and 111
The least common multiple (LCM) of 127 and 111 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 127 and 111?
First, calculate the GCD of 127 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 111 = 1 remainder 16 |
| 2 | 111 ÷ 16 = 6 remainder 15 |
| 3 | 16 ÷ 15 = 1 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 135 | 1755 |
| 191 and 87 | 16617 |
| 24 and 145 | 3480 |
| 86 and 12 | 516 |
| 61 and 66 | 4026 |