Least Common Multiple (LCM) of 76 and 75
The least common multiple (LCM) of 76 and 75 is 5700.
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 76 and 75?
First, calculate the GCD of 76 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 75 = 1 remainder 1 |
| 2 | 75 ÷ 1 = 75 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 37 | 7030 |
| 193 and 197 | 38021 |
| 90 and 13 | 1170 |
| 64 and 99 | 6336 |
| 17 and 105 | 1785 |