Least Common Multiple (LCM) of 173 and 74
The least common multiple (LCM) of 173 and 74 is 12802.
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 74?
First, calculate the GCD of 173 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 74 = 2 remainder 25 |
| 2 | 74 ÷ 25 = 2 remainder 24 |
| 3 | 25 ÷ 24 = 1 remainder 1 |
| 4 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 23 | 2944 |
| 115 and 15 | 345 |
| 65 and 165 | 2145 |
| 124 and 54 | 3348 |
| 172 and 74 | 6364 |