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 |
|---|---|
| 52 and 75 | 3900 |
| 111 and 130 | 14430 |
| 102 and 135 | 4590 |
| 132 and 105 | 4620 |
| 119 and 86 | 10234 |