Least Common Multiple (LCM) of 111 and 62
The least common multiple (LCM) of 111 and 62 is 6882.
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 62?
First, calculate the GCD of 111 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 62 = 1 remainder 49 |
| 2 | 62 ÷ 49 = 1 remainder 13 |
| 3 | 49 ÷ 13 = 3 remainder 10 |
| 4 | 13 ÷ 10 = 1 remainder 3 |
| 5 | 10 ÷ 3 = 3 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 68 | 13260 |
| 84 and 53 | 4452 |
| 160 and 178 | 14240 |
| 153 and 188 | 28764 |
| 54 and 164 | 4428 |