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 |
|---|---|
| 195 and 168 | 10920 |
| 70 and 92 | 3220 |
| 197 and 153 | 30141 |
| 169 and 168 | 28392 |
| 111 and 135 | 4995 |