Least Common Multiple (LCM) of 185 and 85
The least common multiple (LCM) of 185 and 85 is 3145.
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 85?
First, calculate the GCD of 185 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 85 = 2 remainder 15 |
| 2 | 85 ÷ 15 = 5 remainder 10 |
| 3 | 15 ÷ 10 = 1 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 95 | 10640 |
| 191 and 85 | 16235 |
| 129 and 152 | 19608 |
| 70 and 131 | 9170 |
| 103 and 99 | 10197 |