Least Common Multiple (LCM) of 96 and 55
The least common multiple (LCM) of 96 and 55 is 5280.
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 55?
First, calculate the GCD of 96 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 55 = 1 remainder 41 |
| 2 | 55 ÷ 41 = 1 remainder 14 |
| 3 | 41 ÷ 14 = 2 remainder 13 |
| 4 | 14 ÷ 13 = 1 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 200 | 1600 |
| 153 and 198 | 3366 |
| 197 and 136 | 26792 |
| 126 and 10 | 630 |
| 185 and 120 | 4440 |