Question

Find me the LCM of 11,7 and show me how u do it

Answer 1

Answer:

77

Step-by-step explanation:

Multiply 11 by 7, since no other numbers below that work

Answer 2

Answer:77

Step-by-step explanation:

Least Common Multiple of 7 and 11 with GCF Formula

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

We need to calculate greatest common factor 7 and 11, than apply into the LCM equation.

GCF(7,11) = 1

LCM(7,11) = ( 7 × 11) / 1

LCM(7,11) = 77 / 1

LCM(7,11) = 77

Least Common Multiple (LCM) of 7 and 11 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7 and 11. First we will calculate the prime factors of 7 and 11.

Prime Factorization of 7

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

7 = 71

Prime Factorization of 11

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

11 = 111

Now multiplying the highest exponent prime factors to calculate the LCM of 7 and 11.

LCM(7,11) = 71 × 111

LCM(7,11) = 77