GCF and LCM Calculator Logo

What is the Least Common Multiple of 7090 and 7104?

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 7090 and 7104 is 25183680.

LCM(7090,7104) = 25183680

LCM Calculator and
and

Least Common Multiple of 7090 and 7104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7090 and 7104, than apply into the LCM equation.

GCF(7090,7104) = 2
LCM(7090,7104) = ( 7090 × 7104) / 2
LCM(7090,7104) = 50367360 / 2
LCM(7090,7104) = 25183680

Least Common Multiple (LCM) of 7090 and 7104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7090 and 7104. First we will calculate the prime factors of 7090 and 7104.

Prime Factorization of 7090

Prime factors of 7090 are 2, 5, 709. Prime factorization of 7090 in exponential form is:

7090 = 21 × 51 × 7091

Prime Factorization of 7104

Prime factors of 7104 are 2, 3, 37. Prime factorization of 7104 in exponential form is:

7104 = 26 × 31 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 7090 and 7104.

LCM(7090,7104) = 26 × 51 × 7091 × 31 × 371
LCM(7090,7104) = 25183680