Least Common Multiple (LCM) of 58 and 145
The least common multiple (LCM) of 58 and 145 is 290.
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 145?
First, calculate the GCD of 58 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 145 = 0 remainder 58 |
| 2 | 145 ÷ 58 = 2 remainder 29 |
| 3 | 58 ÷ 29 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 85 | 2210 |
| 67 and 180 | 12060 |
| 103 and 42 | 4326 |
| 172 and 141 | 24252 |
| 109 and 79 | 8611 |