Least Common Multiple (LCM) of 96 and 155
The least common multiple (LCM) of 96 and 155 is 14880.
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 96 and 155?
First, calculate the GCD of 96 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 155 = 0 remainder 96 |
| 2 | 155 ÷ 96 = 1 remainder 59 |
| 3 | 96 ÷ 59 = 1 remainder 37 |
| 4 | 59 ÷ 37 = 1 remainder 22 |
| 5 | 37 ÷ 22 = 1 remainder 15 |
| 6 | 22 ÷ 15 = 1 remainder 7 |
| 7 | 15 ÷ 7 = 2 remainder 1 |
| 8 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 186 | 5022 |
| 189 and 104 | 19656 |
| 116 and 125 | 14500 |
| 180 and 96 | 1440 |
| 14 and 179 | 2506 |