Least Common Multiple (LCM) of 189 and 188
The least common multiple (LCM) of 189 and 188 is 35532.
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 189 and 188?
First, calculate the GCD of 189 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 188 = 1 remainder 1 |
| 2 | 188 ÷ 1 = 188 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 49 | 9310 |
| 174 and 123 | 7134 |
| 121 and 173 | 20933 |
| 145 and 123 | 17835 |
| 165 and 77 | 1155 |