Least Common Multiple (LCM) of 197 and 144
The least common multiple (LCM) of 197 and 144 is 28368.
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 197 and 144?
First, calculate the GCD of 197 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 144 = 1 remainder 53 |
| 2 | 144 ÷ 53 = 2 remainder 38 |
| 3 | 53 ÷ 38 = 1 remainder 15 |
| 4 | 38 ÷ 15 = 2 remainder 8 |
| 5 | 15 ÷ 8 = 1 remainder 7 |
| 6 | 8 ÷ 7 = 1 remainder 1 |
| 7 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 38 | 3800 |
| 131 and 31 | 4061 |
| 169 and 39 | 507 |
| 118 and 117 | 13806 |
| 188 and 164 | 7708 |