Least Common Multiple (LCM) of 55 and 17
The least common multiple (LCM) of 55 and 17 is 935.
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 17?
First, calculate the GCD of 55 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 17 = 3 remainder 4 |
| 2 | 17 ÷ 4 = 4 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 71 | 11644 |
| 144 and 47 | 6768 |
| 109 and 38 | 4142 |
| 196 and 194 | 19012 |
| 175 and 101 | 17675 |