Least Common Multiple (LCM) of 59 and 93
The least common multiple (LCM) of 59 and 93 is 5487.
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 93?
First, calculate the GCD of 59 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 93 = 0 remainder 59 |
| 2 | 93 ÷ 59 = 1 remainder 34 |
| 3 | 59 ÷ 34 = 1 remainder 25 |
| 4 | 34 ÷ 25 = 1 remainder 9 |
| 5 | 25 ÷ 9 = 2 remainder 7 |
| 6 | 9 ÷ 7 = 1 remainder 2 |
| 7 | 7 ÷ 2 = 3 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 45 | 8145 |
| 90 and 61 | 5490 |
| 122 and 100 | 6100 |
| 157 and 171 | 26847 |
| 78 and 86 | 3354 |