Least Common Multiple (LCM) of 49 and 181
The least common multiple (LCM) of 49 and 181 is 8869.
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 49 and 181?
First, calculate the GCD of 49 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 181 = 0 remainder 49 |
| 2 | 181 ÷ 49 = 3 remainder 34 |
| 3 | 49 ÷ 34 = 1 remainder 15 |
| 4 | 34 ÷ 15 = 2 remainder 4 |
| 5 | 15 ÷ 4 = 3 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 184 | 1472 |
| 49 and 78 | 3822 |
| 40 and 120 | 120 |
| 106 and 60 | 3180 |
| 160 and 106 | 8480 |