Least Common Multiple (LCM) of 196 and 48
The least common multiple (LCM) of 196 and 48 is 2352.
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 196 and 48?
First, calculate the GCD of 196 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 48 = 4 remainder 4 |
| 2 | 48 ÷ 4 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 47 | 4653 |
| 77 and 159 | 12243 |
| 113 and 108 | 12204 |
| 134 and 39 | 5226 |
| 175 and 80 | 2800 |