Least Common Multiple (LCM) of 183 and 59
The least common multiple (LCM) of 183 and 59 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 183 and 59?
First, calculate the GCD of 183 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 59 = 3 remainder 6 |
| 2 | 59 ÷ 6 = 9 remainder 5 |
| 3 | 6 ÷ 5 = 1 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 41 | 820 |
| 173 and 107 | 18511 |
| 76 and 153 | 11628 |
| 138 and 175 | 24150 |
| 119 and 187 | 1309 |