GCF and LCM Calculator Logo

What is the Least Common Multiple of 93895 and 93915?

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 93895 and 93915 is 1763629785.

LCM(93895,93915) = 1763629785

LCM Calculator and
and

Least Common Multiple of 93895 and 93915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93895 and 93915, than apply into the LCM equation.

GCF(93895,93915) = 5
LCM(93895,93915) = ( 93895 × 93915) / 5
LCM(93895,93915) = 8818148925 / 5
LCM(93895,93915) = 1763629785

Least Common Multiple (LCM) of 93895 and 93915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93895 and 93915. First we will calculate the prime factors of 93895 and 93915.

Prime Factorization of 93895

Prime factors of 93895 are 5, 89, 211. Prime factorization of 93895 in exponential form is:

93895 = 51 × 891 × 2111

Prime Factorization of 93915

Prime factors of 93915 are 3, 5, 2087. Prime factorization of 93915 in exponential form is:

93915 = 32 × 51 × 20871

Now multiplying the highest exponent prime factors to calculate the LCM of 93895 and 93915.

LCM(93895,93915) = 51 × 891 × 2111 × 32 × 20871
LCM(93895,93915) = 1763629785