Least Common Multiple (LCM) of 187 and 178
The least common multiple (LCM) of 187 and 178 is 33286.
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 187 and 178?
First, calculate the GCD of 187 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 178 = 1 remainder 9 |
| 2 | 178 ÷ 9 = 19 remainder 7 |
| 3 | 9 ÷ 7 = 1 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 126 | 8190 |
| 99 and 17 | 1683 |
| 87 and 55 | 4785 |
| 137 and 99 | 13563 |
| 173 and 78 | 13494 |