Least Common Multiple (LCM) of 102 and 98
The least common multiple (LCM) of 102 and 98 is 4998.
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 102 and 98?
First, calculate the GCD of 102 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 98 = 1 remainder 4 |
| 2 | 98 ÷ 4 = 24 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 78 | 4602 |
| 80 and 119 | 9520 |
| 46 and 125 | 5750 |
| 119 and 134 | 15946 |
| 95 and 14 | 1330 |