Least Common Multiple (LCM) of 111 and 108
The least common multiple (LCM) of 111 and 108 is 3996.
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 108?
First, calculate the GCD of 111 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 108 = 1 remainder 3 |
| 2 | 108 ÷ 3 = 36 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 142 | 20022 |
| 87 and 167 | 14529 |
| 19 and 38 | 38 |
| 76 and 132 | 2508 |
| 115 and 41 | 4715 |