Least Common Multiple (LCM) of 119 and 89
The least common multiple (LCM) of 119 and 89 is 10591.
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 119 and 89?
First, calculate the GCD of 119 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 89 = 1 remainder 30 |
| 2 | 89 ÷ 30 = 2 remainder 29 |
| 3 | 30 ÷ 29 = 1 remainder 1 |
| 4 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 19 | 1045 |
| 28 and 105 | 420 |
| 123 and 152 | 18696 |
| 14 and 53 | 742 |
| 171 and 111 | 6327 |