Least Common Multiple (LCM) of 96 and 160
The least common multiple (LCM) of 96 and 160 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 160?
First, calculate the GCD of 96 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 160 = 0 remainder 96 |
| 2 | 160 ÷ 96 = 1 remainder 64 |
| 3 | 96 ÷ 64 = 1 remainder 32 |
| 4 | 64 ÷ 32 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 128 | 5760 |
| 22 and 54 | 594 |
| 154 and 176 | 1232 |
| 36 and 17 | 612 |
| 48 and 27 | 432 |