Least Common Multiple (LCM) of 66 and 184
The least common multiple (LCM) of 66 and 184 is 6072.
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 66 and 184?
First, calculate the GCD of 66 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 184 = 0 remainder 66 |
| 2 | 184 ÷ 66 = 2 remainder 52 |
| 3 | 66 ÷ 52 = 1 remainder 14 |
| 4 | 52 ÷ 14 = 3 remainder 10 |
| 5 | 14 ÷ 10 = 1 remainder 4 |
| 6 | 10 ÷ 4 = 2 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 160 | 11040 |
| 99 and 111 | 3663 |
| 55 and 74 | 4070 |
| 86 and 39 | 3354 |
| 27 and 42 | 378 |