Least Common Multiple (LCM) of 170 and 57
The least common multiple (LCM) of 170 and 57 is 9690.
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 170 and 57?
First, calculate the GCD of 170 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 57 = 2 remainder 56 |
| 2 | 57 ÷ 56 = 1 remainder 1 |
| 3 | 56 ÷ 1 = 56 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 171 | 20862 |
| 88 and 138 | 6072 |
| 121 and 200 | 24200 |
| 21 and 185 | 3885 |
| 151 and 122 | 18422 |