Least Common Multiple (LCM) of 80 and 196
The least common multiple (LCM) of 80 and 196 is 3920.
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 80 and 196?
First, calculate the GCD of 80 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 196 = 0 remainder 80 |
| 2 | 196 ÷ 80 = 2 remainder 36 |
| 3 | 80 ÷ 36 = 2 remainder 8 |
| 4 | 36 ÷ 8 = 4 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 85 | 1870 |
| 106 and 131 | 13886 |
| 196 and 117 | 22932 |
| 176 and 157 | 27632 |
| 122 and 93 | 11346 |