Least Common Multiple (LCM) of 111 and 47
The least common multiple (LCM) of 111 and 47 is 5217.
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 47?
First, calculate the GCD of 111 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 47 = 2 remainder 17 |
| 2 | 47 ÷ 17 = 2 remainder 13 |
| 3 | 17 ÷ 13 = 1 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 192 | 28992 |
| 44 and 162 | 3564 |
| 17 and 148 | 2516 |
| 118 and 103 | 12154 |
| 171 and 199 | 34029 |