Least Common Multiple (LCM) of 80 and 93
The least common multiple (LCM) of 80 and 93 is 7440.
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 80 and 93?
First, calculate the GCD of 80 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 93 = 0 remainder 80 |
| 2 | 93 ÷ 80 = 1 remainder 13 |
| 3 | 80 ÷ 13 = 6 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 99 | 990 |
| 124 and 66 | 4092 |
| 74 and 169 | 12506 |
| 56 and 93 | 5208 |
| 157 and 180 | 28260 |