Least Common Multiple (LCM) of 121 and 173
The least common multiple (LCM) of 121 and 173 is 20933.
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 121 and 173?
First, calculate the GCD of 121 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 173 = 0 remainder 121 |
| 2 | 173 ÷ 121 = 1 remainder 52 |
| 3 | 121 ÷ 52 = 2 remainder 17 |
| 4 | 52 ÷ 17 = 3 remainder 1 |
| 5 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 55 | 55 |
| 18 and 180 | 180 |
| 107 and 20 | 2140 |
| 96 and 158 | 7584 |
| 109 and 35 | 3815 |