Least Common Multiple (LCM) of 55 and 81
The least common multiple (LCM) of 55 and 81 is 4455.
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 81?
First, calculate the GCD of 55 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 81 = 0 remainder 55 |
| 2 | 81 ÷ 55 = 1 remainder 26 |
| 3 | 55 ÷ 26 = 2 remainder 3 |
| 4 | 26 ÷ 3 = 8 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 89 | 13350 |
| 32 and 76 | 608 |
| 102 and 128 | 6528 |
| 177 and 193 | 34161 |
| 46 and 138 | 138 |