Least Common Multiple (LCM) of 149 and 96
The least common multiple (LCM) of 149 and 96 is 14304.
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 149 and 96?
First, calculate the GCD of 149 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 96 = 1 remainder 53 |
| 2 | 96 ÷ 53 = 1 remainder 43 |
| 3 | 53 ÷ 43 = 1 remainder 10 |
| 4 | 43 ÷ 10 = 4 remainder 3 |
| 5 | 10 ÷ 3 = 3 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 159 | 24486 |
| 73 and 176 | 12848 |
| 163 and 60 | 9780 |
| 195 and 35 | 1365 |
| 165 and 19 | 3135 |