Least Common Multiple (LCM) of 143 and 108
The least common multiple (LCM) of 143 and 108 is 15444.
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 108?
First, calculate the GCD of 143 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 108 = 1 remainder 35 |
| 2 | 108 ÷ 35 = 3 remainder 3 |
| 3 | 35 ÷ 3 = 11 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 99 | 495 |
| 54 and 136 | 3672 |
| 45 and 132 | 1980 |
| 145 and 153 | 22185 |
| 71 and 100 | 7100 |