Least Common Multiple (LCM) of 143 and 96
The least common multiple (LCM) of 143 and 96 is 13728.
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 96?
First, calculate the GCD of 143 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 96 = 1 remainder 47 |
| 2 | 96 ÷ 47 = 2 remainder 2 |
| 3 | 47 ÷ 2 = 23 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 18 | 1332 |
| 96 and 196 | 4704 |
| 160 and 145 | 4640 |
| 48 and 36 | 144 |
| 52 and 157 | 8164 |