Least Common Multiple (LCM) of 180 and 179
The least common multiple (LCM) of 180 and 179 is 32220.
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 180 and 179?
First, calculate the GCD of 180 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 179 = 1 remainder 1 |
| 2 | 179 ÷ 1 = 179 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 128 | 128 |
| 120 and 97 | 11640 |
| 130 and 71 | 9230 |
| 46 and 60 | 1380 |
| 144 and 130 | 9360 |