Least Common Multiple (LCM) of 148 and 40
The least common multiple (LCM) of 148 and 40 is 1480.
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 40?
First, calculate the GCD of 148 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 40 = 3 remainder 28 |
| 2 | 40 ÷ 28 = 1 remainder 12 |
| 3 | 28 ÷ 12 = 2 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 76 | 76 |
| 199 and 131 | 26069 |
| 101 and 140 | 14140 |
| 89 and 180 | 16020 |
| 182 and 41 | 7462 |