Least Common Multiple (LCM) of 178 and 188
The least common multiple (LCM) of 178 and 188 is 16732.
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 178 and 188?
First, calculate the GCD of 178 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 188 = 0 remainder 178 |
| 2 | 188 ÷ 178 = 1 remainder 10 |
| 3 | 178 ÷ 10 = 17 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 14 | 1246 |
| 53 and 45 | 2385 |
| 174 and 81 | 4698 |
| 25 and 78 | 1950 |
| 27 and 60 | 540 |