Least Common Multiple (LCM) of 188 and 185
The least common multiple (LCM) of 188 and 185 is 34780.
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 185?
First, calculate the GCD of 188 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 185 = 1 remainder 3 |
| 2 | 185 ÷ 3 = 61 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 11 | 2035 |
| 147 and 85 | 12495 |
| 175 and 102 | 17850 |
| 33 and 27 | 297 |
| 120 and 10 | 120 |