Least Common Multiple (LCM) of 172 and 173
The least common multiple (LCM) of 172 and 173 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 172 and 173?
First, calculate the GCD of 172 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 173 = 0 remainder 172 |
| 2 | 173 ÷ 172 = 1 remainder 1 |
| 3 | 172 ÷ 1 = 172 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 72 | 10008 |
| 171 and 159 | 9063 |
| 191 and 73 | 13943 |
| 178 and 56 | 4984 |
| 147 and 61 | 8967 |