What is the Least Common Multiple of 30042 and 30046?

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 30042 and 30046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30042 and 30046, than apply into the LCM equation.

GCF(30042,30046) = 2
LCM(30042,30046) = ( 30042 × 30046) / 2
LCM(30042,30046) = 902641932 / 2
LCM(30042,30046) = 451320966

Least Common Multiple (LCM) of 30042 and 30046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30042 and 30046. First we will calculate the prime factors of 30042 and 30046.

Prime Factorization of 30042

Prime Factorization of 30046

Now multiplying the highest exponent prime factors to calculate the LCM of 30042 and 30046.

LCM(30042,30046) = 2¹ × 3² × 1669¹ × 83¹ × 181¹
LCM(30042,30046) = 451320966