Least Common Multiple (LCM) of 18 and 154
The least common multiple (LCM) of 18 and 154 is 1386.
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 18 and 154?
First, calculate the GCD of 18 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 18 ÷ 154 = 0 remainder 18 |
| 2 | 154 ÷ 18 = 8 remainder 10 |
| 3 | 18 ÷ 10 = 1 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 47 | 6251 |
| 167 and 40 | 6680 |
| 138 and 184 | 552 |
| 110 and 15 | 330 |
| 44 and 180 | 1980 |