Least Common Multiple (LCM) of 148 and 95
The least common multiple (LCM) of 148 and 95 is 14060.
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 148 and 95?
First, calculate the GCD of 148 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 95 = 1 remainder 53 |
| 2 | 95 ÷ 53 = 1 remainder 42 |
| 3 | 53 ÷ 42 = 1 remainder 11 |
| 4 | 42 ÷ 11 = 3 remainder 9 |
| 5 | 11 ÷ 9 = 1 remainder 2 |
| 6 | 9 ÷ 2 = 4 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 39 | 351 |
| 191 and 194 | 37054 |
| 152 and 123 | 18696 |
| 170 and 149 | 25330 |
| 149 and 57 | 8493 |