Least Common Multiple (LCM) of 149 and 163
The least common multiple (LCM) of 149 and 163 is 24287.
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 149 and 163?
First, calculate the GCD of 149 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 163 = 0 remainder 149 |
| 2 | 163 ÷ 149 = 1 remainder 14 |
| 3 | 149 ÷ 14 = 10 remainder 9 |
| 4 | 14 ÷ 9 = 1 remainder 5 |
| 5 | 9 ÷ 5 = 1 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 175 | 525 |
| 196 and 34 | 3332 |
| 17 and 20 | 340 |
| 65 and 33 | 2145 |
| 113 and 105 | 11865 |