Least Common Multiple (LCM) of 59 and 88
The least common multiple (LCM) of 59 and 88 is 5192.
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 88?
First, calculate the GCD of 59 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 88 = 0 remainder 59 |
| 2 | 88 ÷ 59 = 1 remainder 29 |
| 3 | 59 ÷ 29 = 2 remainder 1 |
| 4 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 67 | 9648 |
| 189 and 12 | 756 |
| 160 and 180 | 1440 |
| 199 and 200 | 39800 |
| 38 and 86 | 1634 |