Least Common Multiple (LCM) of 194 and 98
The least common multiple (LCM) of 194 and 98 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 98?
First, calculate the GCD of 194 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 98 = 1 remainder 96 |
| 2 | 98 ÷ 96 = 1 remainder 2 |
| 3 | 96 ÷ 2 = 48 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 112 | 1904 |
| 45 and 15 | 45 |
| 183 and 133 | 24339 |
| 160 and 101 | 16160 |
| 118 and 34 | 2006 |