Least Common Multiple (LCM) of 80 and 134
The least common multiple (LCM) of 80 and 134 is 5360.
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 134?
First, calculate the GCD of 80 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 134 = 0 remainder 80 |
| 2 | 134 ÷ 80 = 1 remainder 54 |
| 3 | 80 ÷ 54 = 1 remainder 26 |
| 4 | 54 ÷ 26 = 2 remainder 2 |
| 5 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 199 | 35024 |
| 159 and 166 | 26394 |
| 119 and 103 | 12257 |
| 15 and 80 | 240 |
| 171 and 32 | 5472 |