Least Common Multiple (LCM) of 188 and 182
The least common multiple (LCM) of 188 and 182 is 17108.
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 182?
First, calculate the GCD of 188 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 182 = 1 remainder 6 |
| 2 | 182 ÷ 6 = 30 remainder 2 |
| 3 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 102 | 4182 |
| 146 and 189 | 27594 |
| 122 and 99 | 12078 |
| 111 and 58 | 6438 |
| 183 and 119 | 21777 |