Least Common Multiple (LCM) of 177 and 190
The least common multiple (LCM) of 177 and 190 is 33630.
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 177 and 190?
First, calculate the GCD of 177 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 190 = 0 remainder 177 |
| 2 | 190 ÷ 177 = 1 remainder 13 |
| 3 | 177 ÷ 13 = 13 remainder 8 |
| 4 | 13 ÷ 8 = 1 remainder 5 |
| 5 | 8 ÷ 5 = 1 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 44 | 6908 |
| 126 and 160 | 10080 |
| 155 and 27 | 4185 |
| 47 and 179 | 8413 |
| 55 and 134 | 7370 |