Least Common Multiple (LCM) of 90 and 89
The least common multiple (LCM) of 90 and 89 is 8010.
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 90 and 89?
First, calculate the GCD of 90 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 90 ÷ 89 = 1 remainder 1 |
| 2 | 89 ÷ 1 = 89 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 40 | 3480 |
| 111 and 52 | 5772 |
| 191 and 120 | 22920 |
| 30 and 147 | 1470 |
| 128 and 38 | 2432 |