Least Common Multiple (LCM) of 55 and 170
The least common multiple (LCM) of 55 and 170 is 1870.
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 55 and 170?
First, calculate the GCD of 55 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 170 = 0 remainder 55 |
| 2 | 170 ÷ 55 = 3 remainder 5 |
| 3 | 55 ÷ 5 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 191 | 8786 |
| 61 and 22 | 1342 |
| 31 and 105 | 3255 |
| 56 and 124 | 1736 |
| 167 and 163 | 27221 |