What is the Least Common Multiple of 55008 and 55019?

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 55008 and 55019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55008 and 55019, than apply into the LCM equation.

GCF(55008,55019) = 1
LCM(55008,55019) = ( 55008 × 55019) / 1
LCM(55008,55019) = 3026485152 / 1
LCM(55008,55019) = 3026485152

Least Common Multiple (LCM) of 55008 and 55019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55008 and 55019. First we will calculate the prime factors of 55008 and 55019.

Prime Factorization of 55008

Prime Factorization of 55019

Now multiplying the highest exponent prime factors to calculate the LCM of 55008 and 55019.

LCM(55008,55019) = 2⁵ × 3² × 191¹ × 37¹ × 1487¹
LCM(55008,55019) = 3026485152