What is the Least Common Multiple of 52004 and 52019?

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 of 52004 and 52019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52004 and 52019, than apply into the LCM equation.

GCF(52004,52019) = 1
LCM(52004,52019) = ( 52004 × 52019) / 1
LCM(52004,52019) = 2705196076 / 1
LCM(52004,52019) = 2705196076

Least Common Multiple (LCM) of 52004 and 52019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52004 and 52019. First we will calculate the prime factors of 52004 and 52019.

Prime Factorization of 52004

Prime Factorization of 52019

Now multiplying the highest exponent prime factors to calculate the LCM of 52004 and 52019.

LCM(52004,52019) = 2² × 13001¹ × 11¹ × 4729¹
LCM(52004,52019) = 2705196076