Least Common Multiple (LCM) of 95 and 146
The least common multiple (LCM) of 95 and 146 is 13870.
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 95 and 146?
First, calculate the GCD of 95 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 146 = 0 remainder 95 |
| 2 | 146 ÷ 95 = 1 remainder 51 |
| 3 | 95 ÷ 51 = 1 remainder 44 |
| 4 | 51 ÷ 44 = 1 remainder 7 |
| 5 | 44 ÷ 7 = 6 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 151 | 28992 |
| 192 and 107 | 20544 |
| 139 and 46 | 6394 |
| 147 and 46 | 6762 |
| 111 and 198 | 7326 |