Least Common Multiple (LCM) of 181 and 77
The least common multiple (LCM) of 181 and 77 is 13937.
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 181 and 77?
First, calculate the GCD of 181 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 77 = 2 remainder 27 |
| 2 | 77 ÷ 27 = 2 remainder 23 |
| 3 | 27 ÷ 23 = 1 remainder 4 |
| 4 | 23 ÷ 4 = 5 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 61 | 2013 |
| 114 and 39 | 1482 |
| 102 and 184 | 9384 |
| 137 and 68 | 9316 |
| 171 and 106 | 18126 |