Least Common Multiple (LCM) of 23 and 141
The least common multiple (LCM) of 23 and 141 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 23 and 141?
First, calculate the GCD of 23 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 23 ÷ 141 = 0 remainder 23 |
| 2 | 141 ÷ 23 = 6 remainder 3 |
| 3 | 23 ÷ 3 = 7 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 101 | 15150 |
| 165 and 70 | 2310 |
| 129 and 112 | 14448 |
| 194 and 77 | 14938 |
| 163 and 93 | 15159 |