Least Common Multiple (LCM) of 80 and 158
The least common multiple (LCM) of 80 and 158 is 6320.
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 158?
First, calculate the GCD of 80 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 158 = 0 remainder 80 |
| 2 | 158 ÷ 80 = 1 remainder 78 |
| 3 | 80 ÷ 78 = 1 remainder 2 |
| 4 | 78 ÷ 2 = 39 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 85 | 1275 |
| 181 and 14 | 2534 |
| 145 and 81 | 11745 |
| 159 and 198 | 10494 |
| 57 and 115 | 6555 |