What is the Least Common Multiple of 10089 and 10102?

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 10089 and 10102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10089 and 10102, than apply into the LCM equation.

GCF(10089,10102) = 1
LCM(10089,10102) = ( 10089 × 10102) / 1
LCM(10089,10102) = 101919078 / 1
LCM(10089,10102) = 101919078

Least Common Multiple (LCM) of 10089 and 10102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10089 and 10102. First we will calculate the prime factors of 10089 and 10102.

Prime Factorization of 10089

Prime Factorization of 10102

Now multiplying the highest exponent prime factors to calculate the LCM of 10089 and 10102.

LCM(10089,10102) = 3² × 19¹ × 59¹ × 2¹ × 5051¹
LCM(10089,10102) = 101919078