Least Common Multiple (LCM) of 76 and 179
The least common multiple (LCM) of 76 and 179 is 13604.
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 76 and 179?
First, calculate the GCD of 76 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 179 = 0 remainder 76 |
| 2 | 179 ÷ 76 = 2 remainder 27 |
| 3 | 76 ÷ 27 = 2 remainder 22 |
| 4 | 27 ÷ 22 = 1 remainder 5 |
| 5 | 22 ÷ 5 = 4 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 21 | 84 |
| 82 and 78 | 3198 |
| 44 and 45 | 1980 |
| 25 and 66 | 1650 |
| 25 and 52 | 1300 |