Least Common Multiple (LCM) of 28 and 98
The least common multiple (LCM) of 28 and 98 is 196.
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 98?
First, calculate the GCD of 28 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 98 = 0 remainder 28 |
| 2 | 98 ÷ 28 = 3 remainder 14 |
| 3 | 28 ÷ 14 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 45 | 495 |
| 109 and 180 | 19620 |
| 149 and 106 | 15794 |
| 65 and 12 | 780 |
| 12 and 105 | 420 |