Least Common Multiple (LCM) of 28 and 55
The least common multiple (LCM) of 28 and 55 is 1540.
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 28 and 55?
First, calculate the GCD of 28 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 55 = 0 remainder 28 |
| 2 | 55 ÷ 28 = 1 remainder 27 |
| 3 | 28 ÷ 27 = 1 remainder 1 |
| 4 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 144 | 576 |
| 112 and 131 | 14672 |
| 39 and 68 | 2652 |
| 160 and 65 | 2080 |
| 12 and 102 | 204 |