Least Common Multiple (LCM) of 179 and 180
The least common multiple (LCM) of 179 and 180 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 179 and 180?
First, calculate the GCD of 179 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 180 = 0 remainder 179 |
| 2 | 180 ÷ 179 = 1 remainder 1 |
| 3 | 179 ÷ 1 = 179 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 153 | 2142 |
| 77 and 179 | 13783 |
| 178 and 93 | 16554 |
| 108 and 60 | 540 |
| 109 and 30 | 3270 |