Least Common Multiple (LCM) of 144 and 90
The least common multiple (LCM) of 144 and 90 is 720.
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 90?
First, calculate the GCD of 144 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 90 = 1 remainder 54 |
| 2 | 90 ÷ 54 = 1 remainder 36 |
| 3 | 54 ÷ 36 = 1 remainder 18 |
| 4 | 36 ÷ 18 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 33 | 2013 |
| 87 and 148 | 12876 |
| 157 and 83 | 13031 |
| 76 and 45 | 3420 |
| 136 and 65 | 8840 |