Least Common Multiple (LCM) of 146 and 99
The least common multiple (LCM) of 146 and 99 is 14454.
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 99?
First, calculate the GCD of 146 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 99 = 1 remainder 47 |
| 2 | 99 ÷ 47 = 2 remainder 5 |
| 3 | 47 ÷ 5 = 9 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 53 | 6466 |
| 188 and 113 | 21244 |
| 169 and 170 | 28730 |
| 135 and 67 | 9045 |
| 126 and 198 | 1386 |