Least Common Multiple (LCM) of 148 and 184
The least common multiple (LCM) of 148 and 184 is 6808.
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 184?
First, calculate the GCD of 148 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 184 = 0 remainder 148 |
| 2 | 184 ÷ 148 = 1 remainder 36 |
| 3 | 148 ÷ 36 = 4 remainder 4 |
| 4 | 36 ÷ 4 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 141 | 21432 |
| 76 and 140 | 2660 |
| 75 and 113 | 8475 |
| 10 and 128 | 640 |
| 127 and 89 | 11303 |