Least Common Multiple (LCM) of 189 and 154
The least common multiple (LCM) of 189 and 154 is 4158.
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 189 and 154?
First, calculate the GCD of 189 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 154 = 1 remainder 35 |
| 2 | 154 ÷ 35 = 4 remainder 14 |
| 3 | 35 ÷ 14 = 2 remainder 7 |
| 4 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 110 | 16390 |
| 43 and 161 | 6923 |
| 131 and 105 | 13755 |
| 77 and 58 | 4466 |
| 162 and 144 | 1296 |