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 |
|---|---|
| 49 and 147 | 147 |
| 117 and 108 | 1404 |
| 135 and 198 | 2970 |
| 106 and 115 | 12190 |
| 135 and 115 | 3105 |