Least Common Multiple (LCM) of 28 and 84
The least common multiple (LCM) of 28 and 84 is 84.
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 84?
First, calculate the GCD of 28 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 84 = 0 remainder 28 |
| 2 | 84 ÷ 28 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 35 | 4970 |
| 116 and 27 | 3132 |
| 162 and 173 | 28026 |
| 118 and 101 | 11918 |
| 101 and 72 | 7272 |