Least Common Multiple (LCM) of 178 and 190
The least common multiple (LCM) of 178 and 190 is 16910.
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 190?
First, calculate the GCD of 178 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 190 = 0 remainder 178 |
| 2 | 190 ÷ 178 = 1 remainder 12 |
| 3 | 178 ÷ 12 = 14 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 75 | 1650 |
| 25 and 32 | 800 |
| 148 and 58 | 4292 |
| 31 and 61 | 1891 |
| 133 and 45 | 5985 |