Least Common Multiple (LCM) of 196 and 47
The least common multiple (LCM) of 196 and 47 is 9212.
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 47?
First, calculate the GCD of 196 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 47 = 4 remainder 8 |
| 2 | 47 ÷ 8 = 5 remainder 7 |
| 3 | 8 ÷ 7 = 1 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 100 | 3700 |
| 175 and 154 | 3850 |
| 120 and 120 | 120 |
| 174 and 72 | 2088 |
| 123 and 116 | 14268 |