Least Common Multiple (LCM) of 173 and 149
The least common multiple (LCM) of 173 and 149 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 173 and 149?
First, calculate the GCD of 173 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 149 = 1 remainder 24 |
| 2 | 149 ÷ 24 = 6 remainder 5 |
| 3 | 24 ÷ 5 = 4 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 100 | 1700 |
| 172 and 78 | 6708 |
| 158 and 40 | 3160 |
| 149 and 68 | 10132 |
| 97 and 178 | 17266 |