Least Common Multiple (LCM) of 173 and 168
The least common multiple (LCM) of 173 and 168 is 29064.
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 168?
First, calculate the GCD of 173 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 168 = 1 remainder 5 |
| 2 | 168 ÷ 5 = 33 remainder 3 |
| 3 | 5 ÷ 3 = 1 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 54 | 108 |
| 72 and 140 | 2520 |
| 120 and 28 | 840 |
| 180 and 83 | 14940 |
| 126 and 118 | 7434 |