Least Common Multiple (LCM) of 98 and 115
The least common multiple (LCM) of 98 and 115 is 11270.
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 98 and 115?
First, calculate the GCD of 98 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 115 = 0 remainder 98 |
| 2 | 115 ÷ 98 = 1 remainder 17 |
| 3 | 98 ÷ 17 = 5 remainder 13 |
| 4 | 17 ÷ 13 = 1 remainder 4 |
| 5 | 13 ÷ 4 = 3 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 171 | 26334 |
| 176 and 106 | 9328 |
| 175 and 145 | 5075 |
| 33 and 111 | 1221 |
| 180 and 101 | 18180 |