Least Common Multiple (LCM) of 149 and 181
The least common multiple (LCM) of 149 and 181 is 26969.
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 149 and 181?
First, calculate the GCD of 149 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 181 = 0 remainder 149 |
| 2 | 181 ÷ 149 = 1 remainder 32 |
| 3 | 149 ÷ 32 = 4 remainder 21 |
| 4 | 32 ÷ 21 = 1 remainder 11 |
| 5 | 21 ÷ 11 = 1 remainder 10 |
| 6 | 11 ÷ 10 = 1 remainder 1 |
| 7 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 105 | 16485 |
| 188 and 50 | 4700 |
| 114 and 89 | 10146 |
| 111 and 12 | 444 |
| 35 and 171 | 5985 |