Least Common Multiple (LCM) of 98 and 112
The least common multiple (LCM) of 98 and 112 is 784.
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 112?
First, calculate the GCD of 98 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 112 = 0 remainder 98 |
| 2 | 112 ÷ 98 = 1 remainder 14 |
| 3 | 98 ÷ 14 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 135 | 11610 |
| 130 and 63 | 8190 |
| 177 and 73 | 12921 |
| 11 and 142 | 1562 |
| 163 and 21 | 3423 |