Least Common Multiple (LCM) of 180 and 22
The least common multiple (LCM) of 180 and 22 is 1980.
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 22?
First, calculate the GCD of 180 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 22 = 8 remainder 4 |
| 2 | 22 ÷ 4 = 5 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 139 | 25159 |
| 128 and 147 | 18816 |
| 15 and 146 | 2190 |
| 171 and 182 | 31122 |
| 111 and 195 | 7215 |