Least Common Multiple (LCM) of 98 and 180
The least common multiple (LCM) of 98 and 180 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 98 and 180?
First, calculate the GCD of 98 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 180 = 0 remainder 98 |
| 2 | 180 ÷ 98 = 1 remainder 82 |
| 3 | 98 ÷ 82 = 1 remainder 16 |
| 4 | 82 ÷ 16 = 5 remainder 2 |
| 5 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 89 | 10769 |
| 166 and 149 | 24734 |
| 109 and 134 | 14606 |
| 119 and 155 | 18445 |
| 20 and 47 | 940 |