GCF and LCM Calculator Logo

What is the Least Common Multiple of 10504 and 10519?

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 10504 and 10519 is 110491576.

LCM(10504,10519) = 110491576

LCM Calculator and
and

Least Common Multiple of 10504 and 10519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10504 and 10519, than apply into the LCM equation.

GCF(10504,10519) = 1
LCM(10504,10519) = ( 10504 × 10519) / 1
LCM(10504,10519) = 110491576 / 1
LCM(10504,10519) = 110491576

Least Common Multiple (LCM) of 10504 and 10519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10504 and 10519. First we will calculate the prime factors of 10504 and 10519.

Prime Factorization of 10504

Prime factors of 10504 are 2, 13, 101. Prime factorization of 10504 in exponential form is:

10504 = 23 × 131 × 1011

Prime Factorization of 10519

Prime factors of 10519 are 67, 157. Prime factorization of 10519 in exponential form is:

10519 = 671 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 10504 and 10519.

LCM(10504,10519) = 23 × 131 × 1011 × 671 × 1571
LCM(10504,10519) = 110491576