Least Common Multiple (LCM) of 184 and 135
The least common multiple (LCM) of 184 and 135 is 24840.
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 135?
First, calculate the GCD of 184 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 135 = 1 remainder 49 |
| 2 | 135 ÷ 49 = 2 remainder 37 |
| 3 | 49 ÷ 37 = 1 remainder 12 |
| 4 | 37 ÷ 12 = 3 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 105 | 1995 |
| 188 and 57 | 10716 |
| 102 and 99 | 3366 |
| 172 and 87 | 14964 |
| 104 and 18 | 936 |