Least Common Multiple (LCM) of 144 and 179
The least common multiple (LCM) of 144 and 179 is 25776.
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 179?
First, calculate the GCD of 144 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 179 = 0 remainder 144 |
| 2 | 179 ÷ 144 = 1 remainder 35 |
| 3 | 144 ÷ 35 = 4 remainder 4 |
| 4 | 35 ÷ 4 = 8 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 70 | 13510 |
| 135 and 169 | 22815 |
| 120 and 66 | 1320 |
| 53 and 158 | 8374 |
| 144 and 33 | 1584 |