Least Common Multiple (LCM) of 58 and 155
The least common multiple (LCM) of 58 and 155 is 8990.
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 155?
First, calculate the GCD of 58 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 155 = 0 remainder 58 |
| 2 | 155 ÷ 58 = 2 remainder 39 |
| 3 | 58 ÷ 39 = 1 remainder 19 |
| 4 | 39 ÷ 19 = 2 remainder 1 |
| 5 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 60 | 1020 |
| 43 and 30 | 1290 |
| 91 and 65 | 455 |
| 110 and 100 | 1100 |
| 15 and 62 | 930 |