Least Common Multiple (LCM) of 80 and 192
The least common multiple (LCM) of 80 and 192 is 960.
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 80 and 192?
First, calculate the GCD of 80 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 192 = 0 remainder 80 |
| 2 | 192 ÷ 80 = 2 remainder 32 |
| 3 | 80 ÷ 32 = 2 remainder 16 |
| 4 | 32 ÷ 16 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 52 | 468 |
| 143 and 182 | 2002 |
| 76 and 122 | 4636 |
| 162 and 151 | 24462 |
| 170 and 39 | 6630 |