Least Common Multiple (LCM) of 149 and 30
The least common multiple (LCM) of 149 and 30 is 4470.
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 149 and 30?
First, calculate the GCD of 149 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 30 = 4 remainder 29 |
| 2 | 30 ÷ 29 = 1 remainder 1 |
| 3 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 65 | 1625 |
| 161 and 28 | 644 |
| 183 and 193 | 35319 |
| 144 and 145 | 20880 |
| 60 and 177 | 3540 |