Least Common Multiple (LCM) of 190 and 98
The least common multiple (LCM) of 190 and 98 is 9310.
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 190 and 98?
First, calculate the GCD of 190 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 98 = 1 remainder 92 |
| 2 | 98 ÷ 92 = 1 remainder 6 |
| 3 | 92 ÷ 6 = 15 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 178 | 27590 |
| 148 and 138 | 10212 |
| 55 and 57 | 3135 |
| 67 and 46 | 3082 |
| 190 and 108 | 10260 |