Least Common Multiple (LCM) of 37 and 183
The least common multiple (LCM) of 37 and 183 is 6771.
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 37 and 183?
First, calculate the GCD of 37 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 183 = 0 remainder 37 |
| 2 | 183 ÷ 37 = 4 remainder 35 |
| 3 | 37 ÷ 35 = 1 remainder 2 |
| 4 | 35 ÷ 2 = 17 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 53 | 6890 |
| 158 and 14 | 1106 |
| 94 and 36 | 1692 |
| 110 and 130 | 1430 |
| 141 and 160 | 22560 |