Least Common Multiple (LCM) of 185 and 87
The least common multiple (LCM) of 185 and 87 is 16095.
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 87?
First, calculate the GCD of 185 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 87 = 2 remainder 11 |
| 2 | 87 ÷ 11 = 7 remainder 10 |
| 3 | 11 ÷ 10 = 1 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 126 | 2016 |
| 198 and 23 | 4554 |
| 119 and 112 | 1904 |
| 172 and 193 | 33196 |
| 102 and 185 | 18870 |