Least Common Multiple (LCM) of 107 and 98
The least common multiple (LCM) of 107 and 98 is 10486.
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 107 and 98?
First, calculate the GCD of 107 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 98 = 1 remainder 9 |
| 2 | 98 ÷ 9 = 10 remainder 8 |
| 3 | 9 ÷ 8 = 1 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 85 | 3060 |
| 74 and 53 | 3922 |
| 34 and 34 | 34 |
| 71 and 62 | 4402 |
| 142 and 70 | 4970 |