Least Common Multiple (LCM) of 183 and 146
The least common multiple (LCM) of 183 and 146 is 26718.
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 146?
First, calculate the GCD of 183 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 146 = 1 remainder 37 |
| 2 | 146 ÷ 37 = 3 remainder 35 |
| 3 | 37 ÷ 35 = 1 remainder 2 |
| 4 | 35 ÷ 2 = 17 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 63 | 252 |
| 101 and 93 | 9393 |
| 50 and 46 | 1150 |
| 190 and 86 | 8170 |
| 31 and 112 | 3472 |