Least Common Multiple (LCM) of 139 and 144
The least common multiple (LCM) of 139 and 144 is 20016.
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 139 and 144?
First, calculate the GCD of 139 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 144 = 0 remainder 139 |
| 2 | 144 ÷ 139 = 1 remainder 5 |
| 3 | 139 ÷ 5 = 27 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 108 | 21492 |
| 36 and 51 | 612 |
| 101 and 160 | 16160 |
| 192 and 14 | 1344 |
| 185 and 192 | 35520 |