Least Common Multiple (LCM) of 181 and 154
The least common multiple (LCM) of 181 and 154 is 27874.
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 181 and 154?
First, calculate the GCD of 181 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 154 = 1 remainder 27 |
| 2 | 154 ÷ 27 = 5 remainder 19 |
| 3 | 27 ÷ 19 = 1 remainder 8 |
| 4 | 19 ÷ 8 = 2 remainder 3 |
| 5 | 8 ÷ 3 = 2 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 133 | 17290 |
| 27 and 117 | 351 |
| 138 and 16 | 1104 |
| 150 and 98 | 7350 |
| 174 and 163 | 28362 |