Respuesta :
Answer:
The least common multiple is [tex]280a^6b^4cd[/tex]
Step-by-step explanation:
We find the least common multiple of the constant, and of each term.
Least common multiple of 40 and 28:
40 - 28|2
20 - 14|2
10 - 7|2
5 - 7|5
1 - 7|7
1 - 1
2*2*2*5*7 = 280
LCM of a^3 and a².
Exponents are 3 and 2.
LCM of 3 and 2 is 6. So
[tex]a^6[/tex]
b and b^4
LCM of 1 and 4, which are the exponents, is 4. So
[tex]b^4[/tex]
c and c
LCM of 1 and 1 is 1. So c
d
In the first term, no d means that it is [tex]d^0 = 1[/tex]
In the second, [tex]d^1 = d[/tex]
LCM of 0 and 1 is 1. So
d
Least common multiple:
Multiplication of all the LCM's. So
[tex]280a^6b^4cd[/tex]
