Least Common Multiple (LCM) of 19 and 134
The least common multiple (LCM) of 19 and 134 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 19 and 134?
First, calculate the GCD of 19 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 19 ÷ 134 = 0 remainder 19 |
| 2 | 134 ÷ 19 = 7 remainder 1 |
| 3 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 169 | 21463 |
| 103 and 71 | 7313 |
| 176 and 161 | 28336 |
| 167 and 80 | 13360 |
| 171 and 41 | 7011 |