Least Common Multiple (LCM) of 96 and 120
The least common multiple (LCM) of 96 and 120 is 480.
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 120?
First, calculate the GCD of 96 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 120 = 0 remainder 96 |
| 2 | 120 ÷ 96 = 1 remainder 24 |
| 3 | 96 ÷ 24 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 51 | 510 |
| 25 and 26 | 650 |
| 50 and 167 | 8350 |
| 172 and 77 | 13244 |
| 176 and 171 | 30096 |