Least Common Multiple (LCM) of 147 and 95
The least common multiple (LCM) of 147 and 95 is 13965.
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 147 and 95?
First, calculate the GCD of 147 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 95 = 1 remainder 52 |
| 2 | 95 ÷ 52 = 1 remainder 43 |
| 3 | 52 ÷ 43 = 1 remainder 9 |
| 4 | 43 ÷ 9 = 4 remainder 7 |
| 5 | 9 ÷ 7 = 1 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 103 | 3399 |
| 146 and 75 | 10950 |
| 114 and 75 | 2850 |
| 151 and 39 | 5889 |
| 31 and 179 | 5549 |