Least Common Multiple (LCM) of 11 and 28
The least common multiple (LCM) of 11 and 28 is 308.
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 28?
First, calculate the GCD of 11 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 11 ÷ 28 = 0 remainder 11 |
| 2 | 28 ÷ 11 = 2 remainder 6 |
| 3 | 11 ÷ 6 = 1 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 158 | 3002 |
| 59 and 160 | 9440 |
| 154 and 52 | 4004 |
| 127 and 33 | 4191 |
| 60 and 189 | 3780 |