Least Common Multiple (LCM) of 99 and 80
The least common multiple (LCM) of 99 and 80 is 7920.
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 99 and 80?
First, calculate the GCD of 99 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 99 ÷ 80 = 1 remainder 19 |
| 2 | 80 ÷ 19 = 4 remainder 4 |
| 3 | 19 ÷ 4 = 4 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 135 | 23220 |
| 132 and 91 | 12012 |
| 125 and 199 | 24875 |
| 124 and 197 | 24428 |
| 123 and 145 | 17835 |