Least Common Multiple (LCM) of 164 and 80
The least common multiple (LCM) of 164 and 80 is 3280.
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 164 and 80?
First, calculate the GCD of 164 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 80 = 2 remainder 4 |
| 2 | 80 ÷ 4 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 86 | 688 |
| 175 and 199 | 34825 |
| 152 and 133 | 1064 |
| 49 and 121 | 5929 |
| 72 and 118 | 4248 |