What is the Least Common Multiple of 90054 and 90073?

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 90054 and 90073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90054 and 90073, than apply into the LCM equation.

GCF(90054,90073) = 1
LCM(90054,90073) = ( 90054 × 90073) / 1
LCM(90054,90073) = 8111433942 / 1
LCM(90054,90073) = 8111433942

Least Common Multiple (LCM) of 90054 and 90073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90054 and 90073. First we will calculate the prime factors of 90054 and 90073.

Prime Factorization of 90054

Prime Factorization of 90073

Now multiplying the highest exponent prime factors to calculate the LCM of 90054 and 90073.

LCM(90054,90073) = 2¹ × 3² × 5003¹ × 90073¹
LCM(90054,90073) = 8111433942