Least Common Multiple (LCM) of 144 and 79
The least common multiple (LCM) of 144 and 79 is 11376.
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 79?
First, calculate the GCD of 144 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 79 = 1 remainder 65 |
| 2 | 79 ÷ 65 = 1 remainder 14 |
| 3 | 65 ÷ 14 = 4 remainder 9 |
| 4 | 14 ÷ 9 = 1 remainder 5 |
| 5 | 9 ÷ 5 = 1 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 164 | 26076 |
| 95 and 190 | 190 |
| 139 and 115 | 15985 |
| 47 and 53 | 2491 |
| 111 and 31 | 3441 |