Least Common Multiple (LCM) of 80 and 197
The least common multiple (LCM) of 80 and 197 is 15760.
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 197?
First, calculate the GCD of 80 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 197 = 0 remainder 80 |
| 2 | 197 ÷ 80 = 2 remainder 37 |
| 3 | 80 ÷ 37 = 2 remainder 6 |
| 4 | 37 ÷ 6 = 6 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 75 | 600 |
| 188 and 139 | 26132 |
| 200 and 140 | 1400 |
| 162 and 41 | 6642 |
| 18 and 70 | 630 |