What is the Least Common Multiple of 30723 and 30742?

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 30723 and 30742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30723 and 30742, than apply into the LCM equation.

GCF(30723,30742) = 19
LCM(30723,30742) = ( 30723 × 30742) / 19
LCM(30723,30742) = 944486466 / 19
LCM(30723,30742) = 49709814

Least Common Multiple (LCM) of 30723 and 30742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30723 and 30742. First we will calculate the prime factors of 30723 and 30742.

Prime Factorization of 30723

Prime Factorization of 30742

Now multiplying the highest exponent prime factors to calculate the LCM of 30723 and 30742.

LCM(30723,30742) = 3¹ × 7² × 11¹ × 19¹ × 2¹ × 809¹
LCM(30723,30742) = 49709814