Least Common Multiple (LCM) of 181 and 37
The least common multiple (LCM) of 181 and 37 is 6697.
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 181 and 37?
First, calculate the GCD of 181 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 37 = 4 remainder 33 |
| 2 | 37 ÷ 33 = 1 remainder 4 |
| 3 | 33 ÷ 4 = 8 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 53 | 9381 |
| 120 and 127 | 15240 |
| 187 and 150 | 28050 |
| 38 and 169 | 6422 |
| 78 and 163 | 12714 |