What is the Least Common Multiple of 73568 and 73578?

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 73568 and 73578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73568 and 73578, than apply into the LCM equation.

GCF(73568,73578) = 2
LCM(73568,73578) = ( 73568 × 73578) / 2
LCM(73568,73578) = 5412986304 / 2
LCM(73568,73578) = 2706493152

Least Common Multiple (LCM) of 73568 and 73578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73568 and 73578. First we will calculate the prime factors of 73568 and 73578.

Prime Factorization of 73568

Prime Factorization of 73578

Now multiplying the highest exponent prime factors to calculate the LCM of 73568 and 73578.

LCM(73568,73578) = 2⁵ × 11² × 19¹ × 3¹ × 12263¹
LCM(73568,73578) = 2706493152