Least Common Multiple (LCM) of 184 and 125
The least common multiple (LCM) of 184 and 125 is 23000.
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 125?
First, calculate the GCD of 184 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 125 = 1 remainder 59 |
| 2 | 125 ÷ 59 = 2 remainder 7 |
| 3 | 59 ÷ 7 = 8 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 109 | 9156 |
| 199 and 11 | 2189 |
| 171 and 198 | 3762 |
| 10 and 14 | 70 |
| 120 and 62 | 3720 |