Least Common Multiple (LCM) of 59 and 183
The least common multiple (LCM) of 59 and 183 is 10797.
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 183?
First, calculate the GCD of 59 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 183 = 0 remainder 59 |
| 2 | 183 ÷ 59 = 3 remainder 6 |
| 3 | 59 ÷ 6 = 9 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 60 | 660 |
| 21 and 90 | 630 |
| 31 and 172 | 5332 |
| 175 and 174 | 30450 |
| 183 and 120 | 7320 |