Least Common Multiple (LCM) of 143 and 192
The least common multiple (LCM) of 143 and 192 is 27456.
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 143 and 192?
First, calculate the GCD of 143 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 192 = 0 remainder 143 |
| 2 | 192 ÷ 143 = 1 remainder 49 |
| 3 | 143 ÷ 49 = 2 remainder 45 |
| 4 | 49 ÷ 45 = 1 remainder 4 |
| 5 | 45 ÷ 4 = 11 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 64 | 320 |
| 18 and 72 | 72 |
| 13 and 73 | 949 |
| 136 and 152 | 2584 |
| 74 and 72 | 2664 |