Least Common Multiple (LCM) of 29 and 144
The least common multiple (LCM) of 29 and 144 is 4176.
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 29 and 144?
First, calculate the GCD of 29 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 29 ÷ 144 = 0 remainder 29 |
| 2 | 144 ÷ 29 = 4 remainder 28 |
| 3 | 29 ÷ 28 = 1 remainder 1 |
| 4 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 165 | 10230 |
| 90 and 136 | 6120 |
| 58 and 199 | 11542 |
| 51 and 75 | 1275 |
| 126 and 23 | 2898 |