Least Common Multiple (LCM) of 172 and 57
The least common multiple (LCM) of 172 and 57 is 9804.
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 57?
First, calculate the GCD of 172 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 57 = 3 remainder 1 |
| 2 | 57 ÷ 1 = 57 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 58 | 5162 |
| 169 and 30 | 5070 |
| 60 and 101 | 6060 |
| 193 and 147 | 28371 |
| 160 and 51 | 8160 |