Least Common Multiple (LCM) of 188 and 180
The least common multiple (LCM) of 188 and 180 is 8460.
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 188 and 180?
First, calculate the GCD of 188 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 180 = 1 remainder 8 |
| 2 | 180 ÷ 8 = 22 remainder 4 |
| 3 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 57 | 2451 |
| 122 and 143 | 17446 |
| 10 and 134 | 670 |
| 18 and 66 | 198 |
| 27 and 10 | 270 |