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 |
|---|---|
| 146 and 155 | 22630 |
| 106 and 93 | 9858 |
| 100 and 74 | 3700 |
| 99 and 63 | 693 |
| 118 and 198 | 11682 |