Least Common Multiple (LCM) of 107 and 80
The least common multiple (LCM) of 107 and 80 is 8560.
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 107 and 80?
First, calculate the GCD of 107 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 80 = 1 remainder 27 |
| 2 | 80 ÷ 27 = 2 remainder 26 |
| 3 | 27 ÷ 26 = 1 remainder 1 |
| 4 | 26 ÷ 1 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 11 | 1716 |
| 36 and 69 | 828 |
| 85 and 135 | 2295 |
| 32 and 150 | 2400 |
| 111 and 131 | 14541 |