What is the Least Common Multiple of 19004 and 19008?

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 19004 and 19008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19004 and 19008, than apply into the LCM equation.

GCF(19004,19008) = 4
LCM(19004,19008) = ( 19004 × 19008) / 4
LCM(19004,19008) = 361228032 / 4
LCM(19004,19008) = 90307008

Least Common Multiple (LCM) of 19004 and 19008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19004 and 19008. First we will calculate the prime factors of 19004 and 19008.

Prime Factorization of 19004

Prime Factorization of 19008

Now multiplying the highest exponent prime factors to calculate the LCM of 19004 and 19008.

LCM(19004,19008) = 2⁶ × 4751¹ × 3³ × 11¹
LCM(19004,19008) = 90307008