Q7 of 104 Page 1

Find the LCM and HCF of the following integers by applying the prime factorization method :

1485 and 4356

Given numbers are 1485 and 4356.


The prime factorization of 1485 and 4356 gives:






Here, 32× 11 is the smallest power of the common factors 3 and 11.


Therefore, the H.C.F of these two integers = 3 × 3 × 11 = 99


22 × 33× 51 × 112 are the greatest powers of the prime factors 2, 3 and 7 respectively involved in the given numbers.


Now, L.C.M of 1485 and 4356 = 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 = 65430


More from this chapter

All 104 →
7

Find the LCM and HCF of the following integers by applying the prime factorization method :

26 and 91

 7

Find the LCM and HCF of the following integers by applying the prime factorization method :

87 and 145

 7

Find the LCM and HCF of the following integers by applying the prime factorization method :

1095 and 1168

 7

Find the LCM and HCF of the following integers by applying the prime factorization method :

6 and 21