Least Common Multiple (LCM) of 141 and 23
The least common multiple (LCM) of 141 and 23 is 3243.
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 23?
First, calculate the GCD of 141 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 23 = 6 remainder 3 |
| 2 | 23 ÷ 3 = 7 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 200 | 200 |
| 105 and 40 | 840 |
| 19 and 17 | 323 |
| 170 and 97 | 16490 |
| 104 and 171 | 17784 |