Least Common Multiple (LCM) of 134 and 184
The least common multiple (LCM) of 134 and 184 is 12328.
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 134 and 184?
First, calculate the GCD of 134 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 184 = 0 remainder 134 |
| 2 | 184 ÷ 134 = 1 remainder 50 |
| 3 | 134 ÷ 50 = 2 remainder 34 |
| 4 | 50 ÷ 34 = 1 remainder 16 |
| 5 | 34 ÷ 16 = 2 remainder 2 |
| 6 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 175 | 11200 |
| 121 and 144 | 17424 |
| 117 and 169 | 1521 |
| 147 and 120 | 5880 |
| 56 and 44 | 616 |