Least Common Multiple (LCM) of 28 and 32
The least common multiple (LCM) of 28 and 32 is 224.
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 32?
First, calculate the GCD of 28 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 32 = 0 remainder 28 |
| 2 | 32 ÷ 28 = 1 remainder 4 |
| 3 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 71 | 8733 |
| 121 and 165 | 1815 |
| 50 and 160 | 800 |
| 109 and 150 | 16350 |
| 171 and 178 | 30438 |