Least Common Multiple (LCM) of 98 and 57
The least common multiple (LCM) of 98 and 57 is 5586.
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 57?
First, calculate the GCD of 98 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 57 = 1 remainder 41 |
| 2 | 57 ÷ 41 = 1 remainder 16 |
| 3 | 41 ÷ 16 = 2 remainder 9 |
| 4 | 16 ÷ 9 = 1 remainder 7 |
| 5 | 9 ÷ 7 = 1 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 91 | 16380 |
| 150 and 55 | 1650 |
| 91 and 34 | 3094 |
| 117 and 28 | 3276 |
| 116 and 186 | 10788 |