Least Common Multiple (LCM) of 134 and 19
The least common multiple (LCM) of 134 and 19 is 2546.
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 19?
First, calculate the GCD of 134 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 19 = 7 remainder 1 |
| 2 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 80 | 15920 |
| 57 and 147 | 2793 |
| 105 and 41 | 4305 |
| 49 and 20 | 980 |
| 109 and 149 | 16241 |