Least Common Multiple (LCM) of 111 and 73
The least common multiple (LCM) of 111 and 73 is 8103.
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 73?
First, calculate the GCD of 111 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 73 = 1 remainder 38 |
| 2 | 73 ÷ 38 = 1 remainder 35 |
| 3 | 38 ÷ 35 = 1 remainder 3 |
| 4 | 35 ÷ 3 = 11 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 60 | 1380 |
| 27 and 20 | 540 |
| 27 and 117 | 351 |
| 190 and 111 | 21090 |
| 62 and 61 | 3782 |