Least Common Multiple (LCM) of 144 and 153
The least common multiple (LCM) of 144 and 153 is 2448.
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 153?
First, calculate the GCD of 144 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 153 = 0 remainder 144 |
| 2 | 153 ÷ 144 = 1 remainder 9 |
| 3 | 144 ÷ 9 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 193 | 20844 |
| 60 and 32 | 480 |
| 148 and 143 | 21164 |
| 31 and 182 | 5642 |
| 24 and 96 | 96 |