Least Common Multiple (LCM) of 141 and 111
The least common multiple (LCM) of 141 and 111 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 141 and 111?
First, calculate the GCD of 141 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 111 = 1 remainder 30 |
| 2 | 111 ÷ 30 = 3 remainder 21 |
| 3 | 30 ÷ 21 = 1 remainder 9 |
| 4 | 21 ÷ 9 = 2 remainder 3 |
| 5 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 29 | 725 |
| 161 and 120 | 19320 |
| 71 and 131 | 9301 |
| 189 and 48 | 3024 |
| 31 and 66 | 2046 |