What is the Least Common Multiple of 88019 and 88038?

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 88019 and 88038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88019 and 88038, than apply into the LCM equation.

GCF(88019,88038) = 1
LCM(88019,88038) = ( 88019 × 88038) / 1
LCM(88019,88038) = 7749016722 / 1
LCM(88019,88038) = 7749016722

Least Common Multiple (LCM) of 88019 and 88038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88019 and 88038. First we will calculate the prime factors of 88019 and 88038.

Prime Factorization of 88019

Prime Factorization of 88038

Now multiplying the highest exponent prime factors to calculate the LCM of 88019 and 88038.

LCM(88019,88038) = 88019¹ × 2¹ × 3² × 67¹ × 73¹
LCM(88019,88038) = 7749016722