Least Common Multiple (LCM) of 491 and 185
The least common multiple (LCM) of 491 and 185 is 90835.
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 491 and 185?
First, calculate the GCD of 491 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 491 ÷ 185 = 2 remainder 121 |
| 2 | 185 ÷ 121 = 1 remainder 64 |
| 3 | 121 ÷ 64 = 1 remainder 57 |
| 4 | 64 ÷ 57 = 1 remainder 7 |
| 5 | 57 ÷ 7 = 8 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 138 | 552 |
| 56 and 17 | 952 |
| 136 and 156 | 5304 |
| 167 and 164 | 27388 |
| 104 and 45 | 4680 |