Least Common Multiple (LCM) of 144 and 150
The least common multiple (LCM) of 144 and 150 is 3600.
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 150?
First, calculate the GCD of 144 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 150 = 0 remainder 144 |
| 2 | 150 ÷ 144 = 1 remainder 6 |
| 3 | 144 ÷ 6 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 169 | 169 |
| 14 and 89 | 1246 |
| 199 and 30 | 5970 |
| 116 and 169 | 19604 |
| 115 and 156 | 17940 |