Least Common Multiple (LCM) of 111 and 102
The least common multiple (LCM) of 111 and 102 is 3774.
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 102?
First, calculate the GCD of 111 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 102 = 1 remainder 9 |
| 2 | 102 ÷ 9 = 11 remainder 3 |
| 3 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 134 | 6566 |
| 19 and 103 | 1957 |
| 137 and 17 | 2329 |
| 114 and 171 | 342 |
| 198 and 22 | 198 |