Least Common Multiple (LCM) of 154 and 181
The least common multiple (LCM) of 154 and 181 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 154 and 181?
First, calculate the GCD of 154 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 181 = 0 remainder 154 |
| 2 | 181 ÷ 154 = 1 remainder 27 |
| 3 | 154 ÷ 27 = 5 remainder 19 |
| 4 | 27 ÷ 19 = 1 remainder 8 |
| 5 | 19 ÷ 8 = 2 remainder 3 |
| 6 | 8 ÷ 3 = 2 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 77 | 1155 |
| 55 and 141 | 7755 |
| 96 and 91 | 8736 |
| 110 and 182 | 10010 |
| 73 and 121 | 8833 |