Least Common Multiple (LCM) of 11 and 49
The least common multiple (LCM) of 11 and 49 is 539.
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 11 and 49?
First, calculate the GCD of 11 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 11 ÷ 49 = 0 remainder 11 |
| 2 | 49 ÷ 11 = 4 remainder 5 |
| 3 | 11 ÷ 5 = 2 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 151 | 28237 |
| 108 and 28 | 756 |
| 89 and 123 | 10947 |
| 175 and 104 | 18200 |
| 144 and 88 | 1584 |