What is the Least Common Multiple of 23013 and 23033?

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 23013 and 23033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23013 and 23033, than apply into the LCM equation.

GCF(23013,23033) = 1
LCM(23013,23033) = ( 23013 × 23033) / 1
LCM(23013,23033) = 530058429 / 1
LCM(23013,23033) = 530058429

Least Common Multiple (LCM) of 23013 and 23033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23013 and 23033. First we will calculate the prime factors of 23013 and 23033.

Prime Factorization of 23013

Prime Factorization of 23033

Now multiplying the highest exponent prime factors to calculate the LCM of 23013 and 23033.

LCM(23013,23033) = 3² × 2557¹ × 31¹ × 743¹
LCM(23013,23033) = 530058429