Question

what is the LCM OF 3158 ​

Answer 1

Answer:

Least Common Multiple of 3158 and 3176 with GCF Formula

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

We need to calculate greatest common factor 3158 and 3176, than apply into the LCM equation.

GCF(3158,3176) = 2

LCM(3158,3176) = ( 3158 × 3176) / 2

LCM(3158,3176) = 10029808 / 2

LCM(3158,3176) = 5014904

Least Common Multiple (LCM) of 3158 and 3176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3158 and 3176. First we will calculate the prime factors of 3158 and 3176.

Prime Factorization of 3158

Prime factors of 3158 are 2, 1579. Prime factorization of 3158 in exponential form is:

3158 = 21 × 15791

Prime Factorization of 3176

Prime factors of 3176 are 2, 397. Prime factorization of 3176 in exponential form is:

3176 = 23 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 3158 and 3176.

LCM(3158,3176) = 23 × 15791 × 3971

LCM(3158,3176) = 5014904