Least Common Multiple (LCM) of 196 and 98
The least common multiple (LCM) of 196 and 98 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 196 and 98?
First, calculate the GCD of 196 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 98 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 164 | 5904 |
| 58 and 176 | 5104 |
| 169 and 61 | 10309 |
| 116 and 45 | 5220 |
| 54 and 119 | 6426 |