Least Common Multiple (LCM) of 84 and 28
The least common multiple (LCM) of 84 and 28 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 84 and 28?
First, calculate the GCD of 84 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 28 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 146 | 12556 |
| 180 and 124 | 5580 |
| 182 and 76 | 6916 |
| 114 and 160 | 9120 |
| 166 and 50 | 4150 |