Least Common Multiple (LCM) of 147 and 183
The least common multiple (LCM) of 147 and 183 is 8967.
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 147 and 183?
First, calculate the GCD of 147 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 183 = 0 remainder 147 |
| 2 | 183 ÷ 147 = 1 remainder 36 |
| 3 | 147 ÷ 36 = 4 remainder 3 |
| 4 | 36 ÷ 3 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 119 | 12376 |
| 57 and 82 | 4674 |
| 108 and 167 | 18036 |
| 166 and 41 | 6806 |
| 53 and 85 | 4505 |