Least Common Multiple (LCM) of 197 and 73
The least common multiple (LCM) of 197 and 73 is 14381.
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 73?
First, calculate the GCD of 197 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 73 = 2 remainder 51 |
| 2 | 73 ÷ 51 = 1 remainder 22 |
| 3 | 51 ÷ 22 = 2 remainder 7 |
| 4 | 22 ÷ 7 = 3 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 53 | 530 |
| 93 and 20 | 1860 |
| 182 and 28 | 364 |
| 119 and 168 | 2856 |
| 179 and 137 | 24523 |