Least Common Multiple (LCM) of 133 and 173
The least common multiple (LCM) of 133 and 173 is 23009.
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 133 and 173?
First, calculate the GCD of 133 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 173 = 0 remainder 133 |
| 2 | 173 ÷ 133 = 1 remainder 40 |
| 3 | 133 ÷ 40 = 3 remainder 13 |
| 4 | 40 ÷ 13 = 3 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 70 | 8190 |
| 109 and 183 | 19947 |
| 57 and 172 | 9804 |
| 66 and 200 | 6600 |
| 73 and 64 | 4672 |