Least Common Multiple (LCM) of 155 and 96
The least common multiple (LCM) of 155 and 96 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 155 and 96?
First, calculate the GCD of 155 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 96 = 1 remainder 59 |
| 2 | 96 ÷ 59 = 1 remainder 37 |
| 3 | 59 ÷ 37 = 1 remainder 22 |
| 4 | 37 ÷ 22 = 1 remainder 15 |
| 5 | 22 ÷ 15 = 1 remainder 7 |
| 6 | 15 ÷ 7 = 2 remainder 1 |
| 7 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 171 | 5814 |
| 136 and 63 | 8568 |
| 183 and 133 | 24339 |
| 49 and 64 | 3136 |
| 111 and 49 | 5439 |