Least Common Multiple (LCM) of 173 and 120
The least common multiple (LCM) of 173 and 120 is 20760.
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 120?
First, calculate the GCD of 173 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 120 = 1 remainder 53 |
| 2 | 120 ÷ 53 = 2 remainder 14 |
| 3 | 53 ÷ 14 = 3 remainder 11 |
| 4 | 14 ÷ 11 = 1 remainder 3 |
| 5 | 11 ÷ 3 = 3 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 159 | 6678 |
| 75 and 99 | 2475 |
| 183 and 55 | 10065 |
| 149 and 189 | 28161 |
| 13 and 122 | 1586 |