Least Common Multiple (LCM) of 154 and 186
The least common multiple (LCM) of 154 and 186 is 14322.
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 186?
First, calculate the GCD of 154 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 186 = 0 remainder 154 |
| 2 | 186 ÷ 154 = 1 remainder 32 |
| 3 | 154 ÷ 32 = 4 remainder 26 |
| 4 | 32 ÷ 26 = 1 remainder 6 |
| 5 | 26 ÷ 6 = 4 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 97 | 5432 |
| 189 and 30 | 1890 |
| 190 and 198 | 18810 |
| 75 and 130 | 1950 |
| 38 and 14 | 266 |