Least Common Multiple (LCM) of 184 and 31
The least common multiple (LCM) of 184 and 31 is 5704.
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 184 and 31?
First, calculate the GCD of 184 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 31 = 5 remainder 29 |
| 2 | 31 ÷ 29 = 1 remainder 2 |
| 3 | 29 ÷ 2 = 14 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 52 | 1456 |
| 27 and 61 | 1647 |
| 88 and 182 | 8008 |
| 132 and 63 | 2772 |
| 22 and 160 | 1760 |