Least Common Multiple (LCM) of 10 and 98
The least common multiple (LCM) of 10 and 98 is 490.
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 10 and 98?
First, calculate the GCD of 10 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 10 ÷ 98 = 0 remainder 10 |
| 2 | 98 ÷ 10 = 9 remainder 8 |
| 3 | 10 ÷ 8 = 1 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 109 | 9156 |
| 188 and 88 | 4136 |
| 197 and 179 | 35263 |
| 116 and 13 | 1508 |
| 198 and 113 | 22374 |