Least Common Multiple (LCM) of 134 and 80
The least common multiple (LCM) of 134 and 80 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 134 and 80?
First, calculate the GCD of 134 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 80 = 1 remainder 54 |
| 2 | 80 ÷ 54 = 1 remainder 26 |
| 3 | 54 ÷ 26 = 2 remainder 2 |
| 4 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 151 | 26274 |
| 93 and 180 | 5580 |
| 144 and 14 | 1008 |
| 172 and 75 | 12900 |
| 91 and 103 | 9373 |