What is the Least Common Multiple of 37008 and 37019?

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 37008 and 37019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37008 and 37019, than apply into the LCM equation.

GCF(37008,37019) = 1
LCM(37008,37019) = ( 37008 × 37019) / 1
LCM(37008,37019) = 1369999152 / 1
LCM(37008,37019) = 1369999152

Least Common Multiple (LCM) of 37008 and 37019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37008 and 37019. First we will calculate the prime factors of 37008 and 37019.

Prime Factorization of 37008

Prime Factorization of 37019

Now multiplying the highest exponent prime factors to calculate the LCM of 37008 and 37019.

LCM(37008,37019) = 2⁴ × 3² × 257¹ × 37019¹
LCM(37008,37019) = 1369999152