Least Common Multiple (LCM) of 185 and 188
The least common multiple (LCM) of 185 and 188 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 185 and 188?
First, calculate the GCD of 185 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 188 = 0 remainder 185 |
| 2 | 188 ÷ 185 = 1 remainder 3 |
| 3 | 185 ÷ 3 = 61 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 48 | 2736 |
| 31 and 107 | 3317 |
| 160 and 33 | 5280 |
| 164 and 191 | 31324 |
| 112 and 43 | 4816 |