Least Common Multiple (LCM) of 75 and 76
The least common multiple (LCM) of 75 and 76 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 75 and 76?
First, calculate the GCD of 75 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 75 ÷ 76 = 0 remainder 75 |
| 2 | 76 ÷ 75 = 1 remainder 1 |
| 3 | 75 ÷ 1 = 75 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 71 | 7455 |
| 162 and 163 | 26406 |
| 67 and 134 | 134 |
| 196 and 22 | 2156 |
| 174 and 178 | 15486 |