Use the prime factorizations a = 2^4 xx 3^4 xx 5^2 xx 7^3 and b = 2^2 xx 3 xx 5^3 xx 11 to find the prime factorization of the following. (a) LCM(a, b) (b) GCF(a, b)

avissidep 2021-01-31 Answered
Use the prime factorizations a=24×34×52×73andb=22×3×53×11 to find the prime factorization of the following.
(a) LCM(a, b)
(b) GCF(a, b)
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Expert Answer

Brittany Patton
Answered 2021-02-01 Author has 100 answers
Step 1
Given
a=24×34×52×73
b=22×3×53×11
Step 2
LCM(a,b)= Product of the greatest power of each prime factor involved in the numbers
LCM(a,b)=24×34×53×73×11
GCF(a,b)= Product of the smallest power of each common prime factor in the numbers
GCF(a,b)=22×3×52
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