Least Common Multiple (LCM) of 173 and 172
The least common multiple (LCM) of 173 and 172 is 29756.
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 172?
First, calculate the GCD of 173 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 172 = 1 remainder 1 |
| 2 | 172 ÷ 1 = 172 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 123 | 15006 |
| 42 and 191 | 8022 |
| 124 and 42 | 2604 |
| 84 and 146 | 6132 |
| 71 and 171 | 12141 |