Least Common Multiple (LCM) of 184 and 132
The least common multiple (LCM) of 184 and 132 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 184 and 132?
First, calculate the GCD of 184 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 132 = 1 remainder 52 |
| 2 | 132 ÷ 52 = 2 remainder 28 |
| 3 | 52 ÷ 28 = 1 remainder 24 |
| 4 | 28 ÷ 24 = 1 remainder 4 |
| 5 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 22 | 1562 |
| 36 and 90 | 180 |
| 129 and 33 | 1419 |
| 103 and 90 | 9270 |
| 53 and 170 | 9010 |