Least Common Multiple (LCM) of 154 and 184
The least common multiple (LCM) of 154 and 184 is 14168.
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 154 and 184?
First, calculate the GCD of 154 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 184 = 0 remainder 154 |
| 2 | 184 ÷ 154 = 1 remainder 30 |
| 3 | 154 ÷ 30 = 5 remainder 4 |
| 4 | 30 ÷ 4 = 7 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 104 | 104 |
| 14 and 149 | 2086 |
| 101 and 109 | 11009 |
| 136 and 54 | 3672 |
| 143 and 190 | 27170 |