Least Common Multiple (LCM) of 55 and 93
The least common multiple (LCM) of 55 and 93 is 5115.
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 93?
First, calculate the GCD of 55 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 93 = 0 remainder 55 |
| 2 | 93 ÷ 55 = 1 remainder 38 |
| 3 | 55 ÷ 38 = 1 remainder 17 |
| 4 | 38 ÷ 17 = 2 remainder 4 |
| 5 | 17 ÷ 4 = 4 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 76 | 8588 |
| 171 and 81 | 1539 |
| 195 and 198 | 12870 |
| 54 and 58 | 1566 |
| 184 and 51 | 9384 |