Least Common Multiple (LCM) of 88 and 98
The least common multiple (LCM) of 88 and 98 is 4312.
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 88 and 98?
First, calculate the GCD of 88 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 98 = 0 remainder 88 |
| 2 | 98 ÷ 88 = 1 remainder 10 |
| 3 | 88 ÷ 10 = 8 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 154 | 20790 |
| 51 and 180 | 3060 |
| 71 and 25 | 1775 |
| 162 and 193 | 31266 |
| 196 and 26 | 2548 |