Least Common Multiple (LCM) of 178 and 40
The least common multiple (LCM) of 178 and 40 is 3560.
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 40?
First, calculate the GCD of 178 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 40 = 4 remainder 18 |
| 2 | 40 ÷ 18 = 2 remainder 4 |
| 3 | 18 ÷ 4 = 4 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 177 | 35223 |
| 158 and 198 | 15642 |
| 182 and 191 | 34762 |
| 50 and 95 | 950 |
| 162 and 153 | 2754 |