Least Common Multiple (LCM) of 28 and 178
The least common multiple (LCM) of 28 and 178 is 2492.
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 28 and 178?
First, calculate the GCD of 28 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 178 = 0 remainder 28 |
| 2 | 178 ÷ 28 = 6 remainder 10 |
| 3 | 28 ÷ 10 = 2 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 19 | 114 |
| 121 and 96 | 11616 |
| 14 and 102 | 714 |
| 124 and 100 | 3100 |
| 163 and 165 | 26895 |