Least Common Multiple (LCM) of 185 and 197
The least common multiple (LCM) of 185 and 197 is 36445.
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 185 and 197?
First, calculate the GCD of 185 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 197 = 0 remainder 185 |
| 2 | 197 ÷ 185 = 1 remainder 12 |
| 3 | 185 ÷ 12 = 15 remainder 5 |
| 4 | 12 ÷ 5 = 2 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 127 | 14605 |
| 167 and 29 | 4843 |
| 24 and 37 | 888 |
| 42 and 117 | 1638 |
| 122 and 97 | 11834 |