Least Common Multiple (LCM) of 58 and 59
The least common multiple (LCM) of 58 and 59 is 3422.
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 59?
First, calculate the GCD of 58 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 59 = 0 remainder 58 |
| 2 | 59 ÷ 58 = 1 remainder 1 |
| 3 | 58 ÷ 1 = 58 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 108 | 4752 |
| 125 and 95 | 2375 |
| 128 and 156 | 4992 |
| 26 and 134 | 1742 |
| 158 and 63 | 9954 |