Least Common Multiple (LCM) of 58 and 45
The least common multiple (LCM) of 58 and 45 is 2610.
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 45?
First, calculate the GCD of 58 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 45 = 1 remainder 13 |
| 2 | 45 ÷ 13 = 3 remainder 6 |
| 3 | 13 ÷ 6 = 2 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 187 | 561 |
| 180 and 79 | 14220 |
| 184 and 94 | 8648 |
| 109 and 39 | 4251 |
| 180 and 149 | 26820 |