What is the Least Common Multiple of 96604 and 96619?

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 96604 and 96619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96604 and 96619, than apply into the LCM equation.

GCF(96604,96619) = 1
LCM(96604,96619) = ( 96604 × 96619) / 1
LCM(96604,96619) = 9333781876 / 1
LCM(96604,96619) = 9333781876

Least Common Multiple (LCM) of 96604 and 96619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96604 and 96619. First we will calculate the prime factors of 96604 and 96619.

Prime Factorization of 96604

Prime Factorization of 96619

Now multiplying the highest exponent prime factors to calculate the LCM of 96604 and 96619.

LCM(96604,96619) = 2² × 24151¹ × 53¹ × 1823¹
LCM(96604,96619) = 9333781876