What is the Least Common Multiple of 19594 and 19607?

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 19594 and 19607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19594 and 19607, than apply into the LCM equation.

GCF(19594,19607) = 1
LCM(19594,19607) = ( 19594 × 19607) / 1
LCM(19594,19607) = 384179558 / 1
LCM(19594,19607) = 384179558

Least Common Multiple (LCM) of 19594 and 19607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19594 and 19607. First we will calculate the prime factors of 19594 and 19607.

Prime Factorization of 19594

Prime Factorization of 19607

Now multiplying the highest exponent prime factors to calculate the LCM of 19594 and 19607.

LCM(19594,19607) = 2¹ × 97¹ × 101¹ × 7¹ × 2801¹
LCM(19594,19607) = 384179558