What is the Least Common Multiple of 93735 and 93742?

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 93735 and 93742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93735 and 93742, than apply into the LCM equation.

GCF(93735,93742) = 1
LCM(93735,93742) = ( 93735 × 93742) / 1
LCM(93735,93742) = 8786906370 / 1
LCM(93735,93742) = 8786906370

Least Common Multiple (LCM) of 93735 and 93742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93735 and 93742. First we will calculate the prime factors of 93735 and 93742.

Prime Factorization of 93735

Prime Factorization of 93742

Now multiplying the highest exponent prime factors to calculate the LCM of 93735 and 93742.

LCM(93735,93742) = 3² × 5¹ × 2083¹ × 2¹ × 11¹ × 4261¹
LCM(93735,93742) = 8786906370