Least Common Multiple (LCM) of 183 and 55
The least common multiple (LCM) of 183 and 55 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 183 and 55?
First, calculate the GCD of 183 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 55 = 3 remainder 18 |
| 2 | 55 ÷ 18 = 3 remainder 1 |
| 3 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 136 | 12920 |
| 88 and 68 | 1496 |
| 119 and 73 | 8687 |
| 72 and 155 | 11160 |
| 160 and 197 | 31520 |