Least Common Multiple (LCM) of 148 and 170
The least common multiple (LCM) of 148 and 170 is 12580.
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 170?
First, calculate the GCD of 148 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 170 = 0 remainder 148 |
| 2 | 170 ÷ 148 = 1 remainder 22 |
| 3 | 148 ÷ 22 = 6 remainder 16 |
| 4 | 22 ÷ 16 = 1 remainder 6 |
| 5 | 16 ÷ 6 = 2 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 24 | 216 |
| 35 and 75 | 525 |
| 46 and 182 | 4186 |
| 162 and 135 | 810 |
| 146 and 25 | 3650 |