Least Common Multiple (LCM) of 149 and 173
The least common multiple (LCM) of 149 and 173 is 25777.
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 173?
First, calculate the GCD of 149 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 173 = 0 remainder 149 |
| 2 | 173 ÷ 149 = 1 remainder 24 |
| 3 | 149 ÷ 24 = 6 remainder 5 |
| 4 | 24 ÷ 5 = 4 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 17 | 187 |
| 40 and 28 | 280 |
| 143 and 164 | 23452 |
| 125 and 128 | 16000 |
| 105 and 83 | 8715 |