What is the Least Common Multiple of 38012 and 38031?

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 38012 and 38031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38012 and 38031, than apply into the LCM equation.

GCF(38012,38031) = 1
LCM(38012,38031) = ( 38012 × 38031) / 1
LCM(38012,38031) = 1445634372 / 1
LCM(38012,38031) = 1445634372

Least Common Multiple (LCM) of 38012 and 38031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38012 and 38031. First we will calculate the prime factors of 38012 and 38031.

Prime Factorization of 38012

Prime Factorization of 38031

Now multiplying the highest exponent prime factors to calculate the LCM of 38012 and 38031.

LCM(38012,38031) = 2² × 13¹ × 17¹ × 43¹ × 3¹ × 7¹ × 1811¹
LCM(38012,38031) = 1445634372