Least Common Multiple (LCM) of 55 and 183
The least common multiple (LCM) of 55 and 183 is 10065.
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 183?
First, calculate the GCD of 55 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 183 = 0 remainder 55 |
| 2 | 183 ÷ 55 = 3 remainder 18 |
| 3 | 55 ÷ 18 = 3 remainder 1 |
| 4 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 101 | 2828 |
| 153 and 141 | 7191 |
| 126 and 79 | 9954 |
| 57 and 88 | 5016 |
| 173 and 105 | 18165 |