Least Common Multiple (LCM) of 24 and 28
The least common multiple (LCM) of 24 and 28 is 168.
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 24 and 28?
First, calculate the GCD of 24 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 28 = 0 remainder 24 |
| 2 | 28 ÷ 24 = 1 remainder 4 |
| 3 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 195 | 5460 |
| 44 and 20 | 220 |
| 43 and 195 | 8385 |
| 152 and 98 | 7448 |
| 186 and 83 | 15438 |