Least Common Multiple (LCM) of 37 and 184
The least common multiple (LCM) of 37 and 184 is 6808.
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 184?
First, calculate the GCD of 37 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 184 = 0 remainder 37 |
| 2 | 184 ÷ 37 = 4 remainder 36 |
| 3 | 37 ÷ 36 = 1 remainder 1 |
| 4 | 36 ÷ 1 = 36 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 40 | 1960 |
| 141 and 85 | 11985 |
| 104 and 23 | 2392 |
| 151 and 58 | 8758 |
| 133 and 12 | 1596 |