Least Common Multiple (LCM) of 145 and 95
The least common multiple (LCM) of 145 and 95 is 2755.
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 145 and 95?
First, calculate the GCD of 145 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 95 = 1 remainder 50 |
| 2 | 95 ÷ 50 = 1 remainder 45 |
| 3 | 50 ÷ 45 = 1 remainder 5 |
| 4 | 45 ÷ 5 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 111 | 19425 |
| 50 and 53 | 2650 |
| 134 and 64 | 4288 |
| 167 and 78 | 13026 |
| 154 and 67 | 10318 |