Least Common Multiple (LCM) of 148 and 45
The least common multiple (LCM) of 148 and 45 is 6660.
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 45?
First, calculate the GCD of 148 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 45 = 3 remainder 13 |
| 2 | 45 ÷ 13 = 3 remainder 6 |
| 3 | 13 ÷ 6 = 2 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 21 | 4200 |
| 145 and 93 | 13485 |
| 81 and 135 | 405 |
| 15 and 176 | 2640 |
| 189 and 71 | 13419 |