Least Common Multiple (LCM) of 144 and 26
The least common multiple (LCM) of 144 and 26 is 1872.
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 26?
First, calculate the GCD of 144 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 26 = 5 remainder 14 |
| 2 | 26 ÷ 14 = 1 remainder 12 |
| 3 | 14 ÷ 12 = 1 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 101 | 14342 |
| 43 and 150 | 6450 |
| 132 and 41 | 5412 |
| 26 and 96 | 1248 |
| 107 and 49 | 5243 |