Least Common Multiple (LCM) of 143 and 99
The least common multiple (LCM) of 143 and 99 is 1287.
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 99?
First, calculate the GCD of 143 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 99 = 1 remainder 44 |
| 2 | 99 ÷ 44 = 2 remainder 11 |
| 3 | 44 ÷ 11 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 12 | 204 |
| 104 and 91 | 728 |
| 152 and 42 | 3192 |
| 107 and 99 | 10593 |
| 198 and 30 | 990 |