Least Common Multiple (LCM) of 148 and 173
The least common multiple (LCM) of 148 and 173 is 25604.
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 173?
First, calculate the GCD of 148 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 173 = 0 remainder 148 |
| 2 | 173 ÷ 148 = 1 remainder 25 |
| 3 | 148 ÷ 25 = 5 remainder 23 |
| 4 | 25 ÷ 23 = 1 remainder 2 |
| 5 | 23 ÷ 2 = 11 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 60 | 300 |
| 125 and 100 | 500 |
| 120 and 194 | 11640 |
| 198 and 162 | 1782 |
| 160 and 39 | 6240 |