What is the Least Common Multiple of 93093 and 93105?

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 93093 and 93105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93093 and 93105, than apply into the LCM equation.

GCF(93093,93105) = 3
LCM(93093,93105) = ( 93093 × 93105) / 3
LCM(93093,93105) = 8667423765 / 3
LCM(93093,93105) = 2889141255

Least Common Multiple (LCM) of 93093 and 93105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93093 and 93105. First we will calculate the prime factors of 93093 and 93105.

Prime Factorization of 93093

Prime Factorization of 93105

Now multiplying the highest exponent prime factors to calculate the LCM of 93093 and 93105.

LCM(93093,93105) = 3² × 7¹ × 11¹ × 13¹ × 31¹ × 5¹ × 2069¹
LCM(93093,93105) = 2889141255