Least Common Multiple (LCM) of 180 and 98
The least common multiple (LCM) of 180 and 98 is 8820.
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 180 and 98?
First, calculate the GCD of 180 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 98 = 1 remainder 82 |
| 2 | 98 ÷ 82 = 1 remainder 16 |
| 3 | 82 ÷ 16 = 5 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 159 | 6996 |
| 13 and 35 | 455 |
| 167 and 83 | 13861 |
| 109 and 61 | 6649 |
| 82 and 59 | 4838 |