Least Common Multiple (LCM) of 144 and 139
The least common multiple (LCM) of 144 and 139 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 144 and 139?
First, calculate the GCD of 144 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 139 = 1 remainder 5 |
| 2 | 139 ÷ 5 = 27 remainder 4 |
| 3 | 5 ÷ 4 = 1 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 79 | 8295 |
| 16 and 152 | 304 |
| 185 and 161 | 29785 |
| 34 and 86 | 1462 |
| 142 and 88 | 6248 |