GCF and LCM Calculator Logo

What is the Least Common Multiple of 7010 and 7017?

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 7010 and 7017 is 49189170.

LCM(7010,7017) = 49189170

LCM Calculator and
and

Least Common Multiple of 7010 and 7017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7010 and 7017, than apply into the LCM equation.

GCF(7010,7017) = 1
LCM(7010,7017) = ( 7010 × 7017) / 1
LCM(7010,7017) = 49189170 / 1
LCM(7010,7017) = 49189170

Least Common Multiple (LCM) of 7010 and 7017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7010 and 7017. First we will calculate the prime factors of 7010 and 7017.

Prime Factorization of 7010

Prime factors of 7010 are 2, 5, 701. Prime factorization of 7010 in exponential form is:

7010 = 21 × 51 × 7011

Prime Factorization of 7017

Prime factors of 7017 are 3, 2339. Prime factorization of 7017 in exponential form is:

7017 = 31 × 23391

Now multiplying the highest exponent prime factors to calculate the LCM of 7010 and 7017.

LCM(7010,7017) = 21 × 51 × 7011 × 31 × 23391
LCM(7010,7017) = 49189170