Least Common Multiple (LCM) of 153 and 184
The least common multiple (LCM) of 153 and 184 is 28152.
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 153 and 184?
First, calculate the GCD of 153 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 184 = 0 remainder 153 |
| 2 | 184 ÷ 153 = 1 remainder 31 |
| 3 | 153 ÷ 31 = 4 remainder 29 |
| 4 | 31 ÷ 29 = 1 remainder 2 |
| 5 | 29 ÷ 2 = 14 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 17 | 204 |
| 71 and 123 | 8733 |
| 162 and 42 | 1134 |
| 78 and 177 | 4602 |
| 144 and 159 | 7632 |