Least Common Multiple (LCM) of 149 and 176
The least common multiple (LCM) of 149 and 176 is 26224.
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 176?
First, calculate the GCD of 149 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 176 = 0 remainder 149 |
| 2 | 176 ÷ 149 = 1 remainder 27 |
| 3 | 149 ÷ 27 = 5 remainder 14 |
| 4 | 27 ÷ 14 = 1 remainder 13 |
| 5 | 14 ÷ 13 = 1 remainder 1 |
| 6 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 192 | 28608 |
| 49 and 83 | 4067 |
| 66 and 101 | 6666 |
| 10 and 180 | 180 |
| 69 and 131 | 9039 |