Least Common Multiple (LCM) of 179 and 135
The least common multiple (LCM) of 179 and 135 is 24165.
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 179 and 135?
First, calculate the GCD of 179 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 135 = 1 remainder 44 |
| 2 | 135 ÷ 44 = 3 remainder 3 |
| 3 | 44 ÷ 3 = 14 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 180 | 6660 |
| 147 and 27 | 1323 |
| 63 and 49 | 441 |
| 135 and 177 | 7965 |
| 76 and 123 | 9348 |