Least Common Multiple (LCM) of 185 and 47
The least common multiple (LCM) of 185 and 47 is 8695.
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 47?
First, calculate the GCD of 185 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 47 = 3 remainder 44 |
| 2 | 47 ÷ 44 = 1 remainder 3 |
| 3 | 44 ÷ 3 = 14 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 46 | 7590 |
| 169 and 151 | 25519 |
| 147 and 140 | 2940 |
| 144 and 50 | 3600 |
| 127 and 48 | 6096 |