Least Common Multiple (LCM) of 180 and 30
The least common multiple (LCM) of 180 and 30 is 180.
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 30?
First, calculate the GCD of 180 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 30 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 80 | 720 |
| 144 and 96 | 288 |
| 194 and 82 | 7954 |
| 157 and 52 | 8164 |
| 156 and 149 | 23244 |