Least Common Multiple (LCM) of 184 and 150
The least common multiple (LCM) of 184 and 150 is 13800.
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 150?
First, calculate the GCD of 184 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 150 = 1 remainder 34 |
| 2 | 150 ÷ 34 = 4 remainder 14 |
| 3 | 34 ÷ 14 = 2 remainder 6 |
| 4 | 14 ÷ 6 = 2 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 94 | 10810 |
| 179 and 10 | 1790 |
| 183 and 55 | 10065 |
| 190 and 163 | 30970 |
| 37 and 159 | 5883 |