Least Common Multiple (LCM) of 132 and 184
The least common multiple (LCM) of 132 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 132 and 184?
First, calculate the GCD of 132 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 184 = 0 remainder 132 |
| 2 | 184 ÷ 132 = 1 remainder 52 |
| 3 | 132 ÷ 52 = 2 remainder 28 |
| 4 | 52 ÷ 28 = 1 remainder 24 |
| 5 | 28 ÷ 24 = 1 remainder 4 |
| 6 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 37 | 2442 |
| 115 and 39 | 4485 |
| 135 and 185 | 4995 |
| 165 and 76 | 12540 |
| 137 and 176 | 24112 |