Least Common Multiple (LCM) of 184 and 50
The least common multiple (LCM) of 184 and 50 is 4600.
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 50?
First, calculate the GCD of 184 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 50 = 3 remainder 34 |
| 2 | 50 ÷ 34 = 1 remainder 16 |
| 3 | 34 ÷ 16 = 2 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 83 | 12782 |
| 115 and 138 | 690 |
| 56 and 15 | 840 |
| 111 and 139 | 15429 |
| 45 and 147 | 2205 |