GCF and LCM Calculator Logo

What is the Least Common Multiple of 65004 and 65015?

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 65004 and 65015 is 4226235060.

LCM(65004,65015) = 4226235060

LCM Calculator and
and

Least Common Multiple of 65004 and 65015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65004 and 65015, than apply into the LCM equation.

GCF(65004,65015) = 1
LCM(65004,65015) = ( 65004 × 65015) / 1
LCM(65004,65015) = 4226235060 / 1
LCM(65004,65015) = 4226235060

Least Common Multiple (LCM) of 65004 and 65015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65004 and 65015. First we will calculate the prime factors of 65004 and 65015.

Prime Factorization of 65004

Prime factors of 65004 are 2, 3, 5417. Prime factorization of 65004 in exponential form is:

65004 = 22 × 31 × 54171

Prime Factorization of 65015

Prime factors of 65015 are 5, 13003. Prime factorization of 65015 in exponential form is:

65015 = 51 × 130031

Now multiplying the highest exponent prime factors to calculate the LCM of 65004 and 65015.

LCM(65004,65015) = 22 × 31 × 54171 × 51 × 130031
LCM(65004,65015) = 4226235060