What is the Least Common Multiple of 90012 and 90030?

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 90012 and 90030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90012 and 90030, than apply into the LCM equation.

GCF(90012,90030) = 6
LCM(90012,90030) = ( 90012 × 90030) / 6
LCM(90012,90030) = 8103780360 / 6
LCM(90012,90030) = 1350630060

Least Common Multiple (LCM) of 90012 and 90030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90012 and 90030. First we will calculate the prime factors of 90012 and 90030.

Prime Factorization of 90012

Prime Factorization of 90030

Now multiplying the highest exponent prime factors to calculate the LCM of 90012 and 90030.

LCM(90012,90030) = 2² × 3¹ × 13¹ × 577¹ × 5¹ × 3001¹
LCM(90012,90030) = 1350630060