Least Common Multiple (LCM) of 59 and 59
The least common multiple (LCM) of 59 and 59 is 59.
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 59 and 59?
First, calculate the GCD of 59 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 59 = 1 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 25 | 575 |
| 135 and 171 | 2565 |
| 41 and 39 | 1599 |
| 11 and 175 | 1925 |
| 71 and 48 | 3408 |