Least Common Multiple (LCM) of 128 and 98
The least common multiple (LCM) of 128 and 98 is 6272.
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 128 and 98?
First, calculate the GCD of 128 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 128 ÷ 98 = 1 remainder 30 |
| 2 | 98 ÷ 30 = 3 remainder 8 |
| 3 | 30 ÷ 8 = 3 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 107 | 16799 |
| 11 and 59 | 649 |
| 101 and 16 | 1616 |
| 75 and 69 | 1725 |
| 152 and 108 | 4104 |