Least Common Multiple (LCM) of 144 and 29
The least common multiple (LCM) of 144 and 29 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 144 and 29?
First, calculate the GCD of 144 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 29 = 4 remainder 28 |
| 2 | 29 ÷ 28 = 1 remainder 1 |
| 3 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 25 | 4275 |
| 145 and 99 | 14355 |
| 143 and 23 | 3289 |
| 72 and 113 | 8136 |
| 189 and 70 | 1890 |