Least Common Multiple (LCM) of 181 and 76
The least common multiple (LCM) of 181 and 76 is 13756.
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 76?
First, calculate the GCD of 181 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 76 = 2 remainder 29 |
| 2 | 76 ÷ 29 = 2 remainder 18 |
| 3 | 29 ÷ 18 = 1 remainder 11 |
| 4 | 18 ÷ 11 = 1 remainder 7 |
| 5 | 11 ÷ 7 = 1 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 77 | 4004 |
| 61 and 160 | 9760 |
| 164 and 146 | 11972 |
| 49 and 179 | 8771 |
| 49 and 166 | 8134 |