Least Common Multiple (LCM) of 183 and 37
The least common multiple (LCM) of 183 and 37 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 183 and 37?
First, calculate the GCD of 183 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 37 = 4 remainder 35 |
| 2 | 37 ÷ 35 = 1 remainder 2 |
| 3 | 35 ÷ 2 = 17 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 84 | 10500 |
| 138 and 57 | 2622 |
| 86 and 83 | 7138 |
| 32 and 59 | 1888 |
| 92 and 67 | 6164 |