Question

determine the LCM of 78,91 with prime factoring and explanation



fast

Answer 1

Least Common Multiple of 78 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 78 and 91, than apply into the LCM equation.

GCF(78,91) = 13

LCM(78,91) = ( 78 × 91) / 13

LCM(78,91) = 7098 / 13

LCM(78,91) = 546

Least Common Multiple (LCM) of 78 and 91 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78 and 91. First we will calculate the prime factors of 78 and 91.

Prime Factorization of 78

Prime factors of 78 are 2, 3, 13. Prime factorization of 78 in exponential form is:

78 = 21 × 31 × 131

Prime Factorization of 91

Prime factors of 91 are 7, 13. Prime factorization of 91 in exponential form is:

91 = 71 × 131