Least Common Multiple (LCM) of 194 and 49
The least common multiple (LCM) of 194 and 49 is 9506.
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 194 and 49?
First, calculate the GCD of 194 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 49 = 3 remainder 47 |
| 2 | 49 ÷ 47 = 1 remainder 2 |
| 3 | 47 ÷ 2 = 23 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 162 | 18630 |
| 164 and 96 | 3936 |
| 38 and 185 | 7030 |
| 154 and 186 | 14322 |
| 123 and 106 | 13038 |