Least Common Multiple (LCM) of 183 and 85
The least common multiple (LCM) of 183 and 85 is 15555.
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 183 and 85?
First, calculate the GCD of 183 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 85 = 2 remainder 13 |
| 2 | 85 ÷ 13 = 6 remainder 7 |
| 3 | 13 ÷ 7 = 1 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 130 | 910 |
| 63 and 196 | 1764 |
| 120 and 105 | 840 |
| 190 and 139 | 26410 |
| 147 and 184 | 27048 |