Least Common Multiple (LCM) of 148 and 180
The least common multiple (LCM) of 148 and 180 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 180?
First, calculate the GCD of 148 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 180 = 0 remainder 148 |
| 2 | 180 ÷ 148 = 1 remainder 32 |
| 3 | 148 ÷ 32 = 4 remainder 20 |
| 4 | 32 ÷ 20 = 1 remainder 12 |
| 5 | 20 ÷ 12 = 1 remainder 8 |
| 6 | 12 ÷ 8 = 1 remainder 4 |
| 7 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 162 | 17658 |
| 99 and 68 | 6732 |
| 116 and 93 | 10788 |
| 199 and 100 | 19900 |
| 184 and 64 | 1472 |