Least Common Multiple (LCM) of 80 and 75
The least common multiple (LCM) of 80 and 75 is 1200.
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 75?
First, calculate the GCD of 80 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 75 = 1 remainder 5 |
| 2 | 75 ÷ 5 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 119 | 1785 |
| 129 and 195 | 8385 |
| 193 and 44 | 8492 |
| 190 and 22 | 2090 |
| 92 and 175 | 16100 |