Least Common Multiple (LCM) of 147 and 89
The least common multiple (LCM) of 147 and 89 is 13083.
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 89?
First, calculate the GCD of 147 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 89 = 1 remainder 58 |
| 2 | 89 ÷ 58 = 1 remainder 31 |
| 3 | 58 ÷ 31 = 1 remainder 27 |
| 4 | 31 ÷ 27 = 1 remainder 4 |
| 5 | 27 ÷ 4 = 6 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 53 | 1060 |
| 148 and 182 | 13468 |
| 53 and 159 | 159 |
| 200 and 133 | 26600 |
| 182 and 192 | 17472 |