Least Common Multiple (LCM) of 30 and 185
The least common multiple (LCM) of 30 and 185 is 1110.
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 30 and 185?
First, calculate the GCD of 30 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 30 ÷ 185 = 0 remainder 30 |
| 2 | 185 ÷ 30 = 6 remainder 5 |
| 3 | 30 ÷ 5 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 30 | 1140 |
| 10 and 61 | 610 |
| 180 and 109 | 19620 |
| 146 and 181 | 26426 |
| 93 and 144 | 4464 |