What is the Least Common Multiple of 93795 and 93804?

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 93795 and 93804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93795 and 93804, than apply into the LCM equation.

GCF(93795,93804) = 3
LCM(93795,93804) = ( 93795 × 93804) / 3
LCM(93795,93804) = 8798346180 / 3
LCM(93795,93804) = 2932782060

Least Common Multiple (LCM) of 93795 and 93804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93795 and 93804. First we will calculate the prime factors of 93795 and 93804.

Prime Factorization of 93795

Prime Factorization of 93804

Now multiplying the highest exponent prime factors to calculate the LCM of 93795 and 93804.

LCM(93795,93804) = 3¹ × 5¹ × 13² × 37¹ × 2² × 7817¹
LCM(93795,93804) = 2932782060