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 |
|---|---|
| 124 and 48 | 1488 |
| 162 and 36 | 324 |
| 96 and 117 | 3744 |
| 106 and 129 | 13674 |
| 170 and 39 | 6630 |