What is the Least Common Multiple of 93873 and 93889?

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 93873 and 93889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93873 and 93889, than apply into the LCM equation.

GCF(93873,93889) = 1
LCM(93873,93889) = ( 93873 × 93889) / 1
LCM(93873,93889) = 8813642097 / 1
LCM(93873,93889) = 8813642097

Least Common Multiple (LCM) of 93873 and 93889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93873 and 93889. First we will calculate the prime factors of 93873 and 93889.

Prime Factorization of 93873

Prime Factorization of 93889

Now multiplying the highest exponent prime factors to calculate the LCM of 93873 and 93889.

LCM(93873,93889) = 3¹ × 13¹ × 29¹ × 83¹ × 93889¹
LCM(93873,93889) = 8813642097