Least Common Multiple (LCM) of 144 and 187
The least common multiple (LCM) of 144 and 187 is 26928.
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 187?
First, calculate the GCD of 144 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 187 = 0 remainder 144 |
| 2 | 187 ÷ 144 = 1 remainder 43 |
| 3 | 144 ÷ 43 = 3 remainder 15 |
| 4 | 43 ÷ 15 = 2 remainder 13 |
| 5 | 15 ÷ 13 = 1 remainder 2 |
| 6 | 13 ÷ 2 = 6 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 69 | 3726 |
| 117 and 138 | 5382 |
| 192 and 128 | 384 |
| 24 and 10 | 120 |
| 31 and 128 | 3968 |