using prime factorization to find the lcm and gcf\n1) 2, 38\n2) 2, 20\n3) 4, 34\n4) 21, 12\n5) 40, 10\n6)…

using prime factorization to find the lcm and gcf\n1) 2, 38\n2) 2, 20\n3) 4, 34\n4) 21, 12\n5) 40, 10\n6) 24, 18\n7) 27, 12\n8) 38, 6\n9) 34, 21\n10) 32, 8\n11) 5, 16\n12) 2, 20\nlcm\ngcf

using prime factorization to find the lcm and gcf\n1) 2, 38\n2) 2, 20\n3) 4, 34\n4) 21, 12\n5) 40, 10\n6) 24, 18\n7) 27, 12\n8) 38, 6\n9) 34, 21\n10) 32, 8\n11) 5, 16\n12) 2, 20\nlcm\ngcf

Answer

CF is 1, LCM is $2\times3\times7\times17 = 714$.

Step11: For 32 and 8

Prime - factorization of 32 is $2^{5}$. Prime - factorization of 8 is $2^{3}$. GCF is 8, LCM is 32.

Step12: For 5 and 16

Prime - factorization of 5 is 5. Prime - factorization of 16 is $2^{4}$. GCF is 1, LCM is $5\times2^{4}=80$.

Step13: For 12 and 20

Prime - factorization of 12 is $2^{2}\times3$. Prime - factorization of 20 is $2^{2}\times5$. GCF is $2^{2}=4$, LCM is $2^{2}\times3\times5 = 60$.

Answer:

  1. LCM: 38, GCF: 2
  2. LCM: 20, GCF: 2
  3. LCM: 68, GCF: 2
  4. LCM: 84, GCF: 3
  5. LCM: 40, GCF: 10
  6. LCM: 72, GCF: 6
  7. LCM: 108, GCF: 3
  8. LCM: 114, GCF: 2
  9. LCM: 714, GCF: 1
  10. LCM: 32, GCF: 8
  11. LCM: 80, GCF: 1
  12. LCM: 60, GCF: 4