Least Common Multiple (LCM) of 75 and 79
The least common multiple (LCM) of 75 and 79 is 5925.
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 79?
First, calculate the GCD of 75 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 75 ÷ 79 = 0 remainder 75 |
| 2 | 79 ÷ 75 = 1 remainder 4 |
| 3 | 75 ÷ 4 = 18 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 28 | 4060 |
| 142 and 144 | 10224 |
| 25 and 93 | 2325 |
| 185 and 172 | 31820 |
| 173 and 54 | 9342 |