Least Common Multiple (LCM) of 101 and 80
The least common multiple (LCM) of 101 and 80 is 8080.
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 101 and 80?
First, calculate the GCD of 101 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 80 = 1 remainder 21 |
| 2 | 80 ÷ 21 = 3 remainder 17 |
| 3 | 21 ÷ 17 = 1 remainder 4 |
| 4 | 17 ÷ 4 = 4 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 75 | 75 |
| 199 and 91 | 18109 |
| 138 and 137 | 18906 |
| 146 and 46 | 3358 |
| 170 and 170 | 170 |