Least Common Multiple (LCM) of 188 and 189
The least common multiple (LCM) of 188 and 189 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 188 and 189?
First, calculate the GCD of 188 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 189 = 0 remainder 188 |
| 2 | 189 ÷ 188 = 1 remainder 1 |
| 3 | 188 ÷ 1 = 188 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 129 | 2838 |
| 174 and 61 | 10614 |
| 161 and 80 | 12880 |
| 37 and 159 | 5883 |
| 145 and 158 | 22910 |