Least Common Multiple (LCM) of 66 and 179
The least common multiple (LCM) of 66 and 179 is 11814.
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 66 and 179?
First, calculate the GCD of 66 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 179 = 0 remainder 66 |
| 2 | 179 ÷ 66 = 2 remainder 47 |
| 3 | 66 ÷ 47 = 1 remainder 19 |
| 4 | 47 ÷ 19 = 2 remainder 9 |
| 5 | 19 ÷ 9 = 2 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 77 | 1309 |
| 185 and 32 | 5920 |
| 11 and 47 | 517 |
| 30 and 56 | 840 |
| 58 and 55 | 3190 |