Least Common Multiple (LCM) of 98 and 65
The least common multiple (LCM) of 98 and 65 is 6370.
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 65?
First, calculate the GCD of 98 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 65 = 1 remainder 33 |
| 2 | 65 ÷ 33 = 1 remainder 32 |
| 3 | 33 ÷ 32 = 1 remainder 1 |
| 4 | 32 ÷ 1 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 149 | 2980 |
| 114 and 96 | 1824 |
| 169 and 18 | 3042 |
| 39 and 169 | 507 |
| 149 and 93 | 13857 |