Least Common Multiple (LCM) of 146 and 95
The least common multiple (LCM) of 146 and 95 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 146 and 95?
First, calculate the GCD of 146 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 95 = 1 remainder 51 |
| 2 | 95 ÷ 51 = 1 remainder 44 |
| 3 | 51 ÷ 44 = 1 remainder 7 |
| 4 | 44 ÷ 7 = 6 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 112 | 1008 |
| 17 and 141 | 2397 |
| 95 and 106 | 10070 |
| 14 and 193 | 2702 |
| 39 and 32 | 1248 |