Least Common Multiple (LCM) of 58 and 144
The least common multiple (LCM) of 58 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 58 and 144?
First, calculate the GCD of 58 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 144 = 0 remainder 58 |
| 2 | 144 ÷ 58 = 2 remainder 28 |
| 3 | 58 ÷ 28 = 2 remainder 2 |
| 4 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 45 | 585 |
| 109 and 61 | 6649 |
| 160 and 184 | 3680 |
| 154 and 24 | 1848 |
| 114 and 63 | 2394 |