Least Common Multiple (LCM) of 148 and 30
The least common multiple (LCM) of 148 and 30 is 2220.
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 148 and 30?
First, calculate the GCD of 148 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 30 = 4 remainder 28 |
| 2 | 30 ÷ 28 = 1 remainder 2 |
| 3 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 170 | 26690 |
| 88 and 154 | 616 |
| 112 and 25 | 2800 |
| 81 and 19 | 1539 |
| 150 and 54 | 1350 |