Least Common Multiple (LCM) of 81 and 177
The least common multiple (LCM) of 81 and 177 is 4779.
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 81 and 177?
First, calculate the GCD of 81 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 177 = 0 remainder 81 |
| 2 | 177 ÷ 81 = 2 remainder 15 |
| 3 | 81 ÷ 15 = 5 remainder 6 |
| 4 | 15 ÷ 6 = 2 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 63 | 693 |
| 174 and 141 | 8178 |
| 111 and 121 | 13431 |
| 32 and 27 | 864 |
| 115 and 132 | 15180 |