Question

The Product of the HCF and LCM of 7and 11 is ​

Answer 1

Answer:

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 7 and 11 is 77.

LCM(7,11) = 77

LCM Calculator

Least Common Multiple of

7

and  

11

Calculate LCM

 Least Common Multiple of 77 and 91 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 77 and 91, than apply into the LCM equation.

GCF(77,91) = 7

LCM(77,91) = ( 77 × 91) / 7

LCM(77,91) = 7007 / 7

LCM(77,91) = 1001

Least Common Multiple (LCM) of 77 and 91 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77 and 91. First we will calculate the prime factors of 77 and 91.

Prime Factorization of 77

Prime factors of 77 are 7, 11. Prime factorization of 77 in exponential form is:

77 = 71 × 111

Step-by-step explanation:

Answer 2

Least common multiple (LCM) of 7 and 11 is 77.

HCF of 7 and 11 is 1

So, ans is 1×77 =77