Least Common Multiple (LCM) of 75 and 73
The least common multiple (LCM) of 75 and 73 is 5475.
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 73?
First, calculate the GCD of 75 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 75 ÷ 73 = 1 remainder 2 |
| 2 | 73 ÷ 2 = 36 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 137 | 16440 |
| 183 and 100 | 18300 |
| 189 and 139 | 26271 |
| 115 and 43 | 4945 |
| 97 and 59 | 5723 |