Least Common Multiple (LCM) of 39 and 184
The least common multiple (LCM) of 39 and 184 is 7176.
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 39 and 184?
First, calculate the GCD of 39 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 184 = 0 remainder 39 |
| 2 | 184 ÷ 39 = 4 remainder 28 |
| 3 | 39 ÷ 28 = 1 remainder 11 |
| 4 | 28 ÷ 11 = 2 remainder 6 |
| 5 | 11 ÷ 6 = 1 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 18 | 1602 |
| 120 and 142 | 8520 |
| 87 and 29 | 87 |
| 100 and 90 | 900 |
| 116 and 111 | 12876 |