Question

find the LCM and HCF of 15,35 in prime factorisation method ​

Answer 1

Answer:

HCF(15,35) = 5

LCM(15,35) = ( 15 × 35) / 5

LCM(15,35) = 525 / 5

LCM(15,35) = 105

Step-by-step explanation:

Prime Factorization of 15

Prime factors of 15 are 3, 5. Prime factorization of 15 in exponential form is:

15 = $3^{1}$ × $5^{1}$

Prime Factorization of 35

Prime factors of 35 are 5, 7. Prime factorization of 35 in exponential form is:

35 = $5^{1}$ × $7^{1}$

Now multiplying the highest exponent prime factors to calculate the LCM of 15 and 35.

LCM(15,35) = 31 × 51 × 71

LCM(15,35) = 105