What is the Least Common Multiple of 19026 and 19031?

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 19026 and 19031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19026 and 19031, than apply into the LCM equation.

GCF(19026,19031) = 1
LCM(19026,19031) = ( 19026 × 19031) / 1
LCM(19026,19031) = 362083806 / 1
LCM(19026,19031) = 362083806

Least Common Multiple (LCM) of 19026 and 19031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19026 and 19031. First we will calculate the prime factors of 19026 and 19031.

Prime Factorization of 19026

Prime Factorization of 19031

Now multiplying the highest exponent prime factors to calculate the LCM of 19026 and 19031.

LCM(19026,19031) = 2¹ × 3² × 7¹ × 151¹ × 19031¹
LCM(19026,19031) = 362083806