What is the Least Common Multiple of 37008 and 37012?

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 37012 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 37012, than apply into the LCM equation.

GCF(37008,37012) = 4
LCM(37008,37012) = ( 37008 × 37012) / 4
LCM(37008,37012) = 1369740096 / 4
LCM(37008,37012) = 342435024

Least Common Multiple (LCM) of 37008 and 37012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37008 and 37012. First we will calculate the prime factors of 37008 and 37012.

Prime Factorization of 37008

Prime Factorization of 37012

Now multiplying the highest exponent prime factors to calculate the LCM of 37008 and 37012.

LCM(37008,37012) = 2⁴ × 3² × 257¹ × 19¹ × 487¹
LCM(37008,37012) = 342435024