Least Common Multiple (LCM) of 28 and 49
The least common multiple (LCM) of 28 and 49 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 49?
First, calculate the GCD of 28 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 49 = 0 remainder 28 |
| 2 | 49 ÷ 28 = 1 remainder 21 |
| 3 | 28 ÷ 21 = 1 remainder 7 |
| 4 | 21 ÷ 7 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 141 | 13395 |
| 114 and 79 | 9006 |
| 66 and 106 | 3498 |
| 45 and 75 | 225 |
| 115 and 37 | 4255 |