Least Common Multiple (LCM) of 185 and 95
The least common multiple (LCM) of 185 and 95 is 3515.
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 95?
First, calculate the GCD of 185 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 95 = 1 remainder 90 |
| 2 | 95 ÷ 90 = 1 remainder 5 |
| 3 | 90 ÷ 5 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 100 | 18100 |
| 66 and 127 | 8382 |
| 146 and 149 | 21754 |
| 132 and 131 | 17292 |
| 116 and 72 | 2088 |