Least Common Multiple (LCM) of 185 and 170
The least common multiple (LCM) of 185 and 170 is 6290.
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 185 and 170?
First, calculate the GCD of 185 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 170 = 1 remainder 15 |
| 2 | 170 ÷ 15 = 11 remainder 5 |
| 3 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 22 | 3454 |
| 67 and 55 | 3685 |
| 146 and 120 | 8760 |
| 115 and 106 | 12190 |
| 171 and 43 | 7353 |