GCF and LCM Calculator Logo

What is the Least Common Multiple of 93804 and 93808?

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 (LCM) of 93804 and 93808 is 2199891408.

LCM(93804,93808) = 2199891408

LCM Calculator and
and

Least Common Multiple of 93804 and 93808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93804 and 93808, than apply into the LCM equation.

GCF(93804,93808) = 4
LCM(93804,93808) = ( 93804 × 93808) / 4
LCM(93804,93808) = 8799565632 / 4
LCM(93804,93808) = 2199891408

Least Common Multiple (LCM) of 93804 and 93808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93804 and 93808. First we will calculate the prime factors of 93804 and 93808.

Prime Factorization of 93804

Prime factors of 93804 are 2, 3, 7817. Prime factorization of 93804 in exponential form is:

93804 = 22 × 31 × 78171

Prime Factorization of 93808

Prime factors of 93808 are 2, 11, 13, 41. Prime factorization of 93808 in exponential form is:

93808 = 24 × 111 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 93804 and 93808.

LCM(93804,93808) = 24 × 31 × 78171 × 111 × 131 × 411
LCM(93804,93808) = 2199891408