Least Common Multiple (LCM) of 141 and 89
The least common multiple (LCM) of 141 and 89 is 12549.
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 141 and 89?
First, calculate the GCD of 141 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 89 = 1 remainder 52 |
| 2 | 89 ÷ 52 = 1 remainder 37 |
| 3 | 52 ÷ 37 = 1 remainder 15 |
| 4 | 37 ÷ 15 = 2 remainder 7 |
| 5 | 15 ÷ 7 = 2 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 105 | 735 |
| 135 and 110 | 2970 |
| 107 and 62 | 6634 |
| 77 and 42 | 462 |
| 17 and 16 | 272 |