Least Common Multiple (LCM) of 154 and 185
The least common multiple (LCM) of 154 and 185 is 28490.
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 185?
First, calculate the GCD of 154 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 185 = 0 remainder 154 |
| 2 | 185 ÷ 154 = 1 remainder 31 |
| 3 | 154 ÷ 31 = 4 remainder 30 |
| 4 | 31 ÷ 30 = 1 remainder 1 |
| 5 | 30 ÷ 1 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 154 | 2310 |
| 14 and 191 | 2674 |
| 128 and 71 | 9088 |
| 190 and 152 | 760 |
| 67 and 153 | 10251 |