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 |
|---|---|
| 168 and 102 | 2856 |
| 116 and 75 | 8700 |
| 193 and 48 | 9264 |
| 113 and 37 | 4181 |
| 30 and 93 | 930 |