Least Common Multiple (LCM) of 73 and 197
The least common multiple (LCM) of 73 and 197 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 73 and 197?
First, calculate the GCD of 73 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 197 = 0 remainder 73 |
| 2 | 197 ÷ 73 = 2 remainder 51 |
| 3 | 73 ÷ 51 = 1 remainder 22 |
| 4 | 51 ÷ 22 = 2 remainder 7 |
| 5 | 22 ÷ 7 = 3 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 104 | 8216 |
| 130 and 138 | 8970 |
| 174 and 98 | 8526 |
| 165 and 141 | 7755 |
| 75 and 20 | 300 |