What is the Least Common Multiple of 90003 and 90021?

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 90003 and 90021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90003 and 90021, than apply into the LCM equation.

GCF(90003,90021) = 3
LCM(90003,90021) = ( 90003 × 90021) / 3
LCM(90003,90021) = 8102160063 / 3
LCM(90003,90021) = 2700720021

Least Common Multiple (LCM) of 90003 and 90021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90003 and 90021. First we will calculate the prime factors of 90003 and 90021.

Prime Factorization of 90003

Prime Factorization of 90021

Now multiplying the highest exponent prime factors to calculate the LCM of 90003 and 90021.

LCM(90003,90021) = 3¹ × 19¹ × 1579¹ × 37¹ × 811¹
LCM(90003,90021) = 2700720021