Least Common Multiple (LCM) of 141 and 93
The least common multiple (LCM) of 141 and 93 is 4371.
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 93?
First, calculate the GCD of 141 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 93 = 1 remainder 48 |
| 2 | 93 ÷ 48 = 1 remainder 45 |
| 3 | 48 ÷ 45 = 1 remainder 3 |
| 4 | 45 ÷ 3 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 72 | 6552 |
| 183 and 30 | 1830 |
| 65 and 105 | 1365 |
| 28 and 81 | 2268 |
| 70 and 14 | 70 |