Least Common Multiple (LCM) of 144 and 152
The least common multiple (LCM) of 144 and 152 is 2736.
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 152?
First, calculate the GCD of 144 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 152 = 0 remainder 144 |
| 2 | 152 ÷ 144 = 1 remainder 8 |
| 3 | 144 ÷ 8 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 54 | 1350 |
| 51 and 15 | 255 |
| 66 and 59 | 3894 |
| 192 and 115 | 22080 |
| 135 and 177 | 7965 |