Least Common Multiple (LCM) of 74 and 197
The least common multiple (LCM) of 74 and 197 is 14578.
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 74 and 197?
First, calculate the GCD of 74 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 197 = 0 remainder 74 |
| 2 | 197 ÷ 74 = 2 remainder 49 |
| 3 | 74 ÷ 49 = 1 remainder 25 |
| 4 | 49 ÷ 25 = 1 remainder 24 |
| 5 | 25 ÷ 24 = 1 remainder 1 |
| 6 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 41 | 3280 |
| 19 and 175 | 3325 |
| 42 and 106 | 2226 |
| 114 and 72 | 1368 |
| 132 and 42 | 924 |