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 |
|---|---|
| 117 and 146 | 17082 |
| 37 and 174 | 6438 |
| 57 and 120 | 2280 |
| 129 and 52 | 6708 |
| 81 and 190 | 15390 |