Least Common Multiple (LCM) of 75 and 95
The least common multiple (LCM) of 75 and 95 is 1425.
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 95?
First, calculate the GCD of 75 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 75 ÷ 95 = 0 remainder 75 |
| 2 | 95 ÷ 75 = 1 remainder 20 |
| 3 | 75 ÷ 20 = 3 remainder 15 |
| 4 | 20 ÷ 15 = 1 remainder 5 |
| 5 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 102 | 4182 |
| 107 and 118 | 12626 |
| 63 and 143 | 9009 |
| 112 and 29 | 3248 |
| 173 and 167 | 28891 |