What is the Least Common Multiple of 72093 and 72103?

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 72093 and 72103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72093 and 72103, than apply into the LCM equation.

GCF(72093,72103) = 1
LCM(72093,72103) = ( 72093 × 72103) / 1
LCM(72093,72103) = 5198121579 / 1
LCM(72093,72103) = 5198121579

Least Common Multiple (LCM) of 72093 and 72103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72093 and 72103. First we will calculate the prime factors of 72093 and 72103.

Prime Factorization of 72093

Prime Factorization of 72103

Now multiplying the highest exponent prime factors to calculate the LCM of 72093 and 72103.

LCM(72093,72103) = 3¹ × 7¹ × 3433¹ × 72103¹
LCM(72093,72103) = 5198121579