What is the Least Common Multiple of 90009 and 90013?

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 90009 and 90013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90009 and 90013, than apply into the LCM equation.

GCF(90009,90013) = 1
LCM(90009,90013) = ( 90009 × 90013) / 1
LCM(90009,90013) = 8101980117 / 1
LCM(90009,90013) = 8101980117

Least Common Multiple (LCM) of 90009 and 90013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90009 and 90013. First we will calculate the prime factors of 90009 and 90013.

Prime Factorization of 90009

Prime Factorization of 90013

Now multiplying the highest exponent prime factors to calculate the LCM of 90009 and 90013.

LCM(90009,90013) = 3² × 73¹ × 137¹ × 7² × 11¹ × 167¹
LCM(90009,90013) = 8101980117