GCF and LCM Calculator Logo

What is the Least Common Multiple of 93608 and 93620?

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 93608 and 93620 is 2190895240.

LCM(93608,93620) = 2190895240

LCM Calculator and
and

Least Common Multiple of 93608 and 93620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93608 and 93620, than apply into the LCM equation.

GCF(93608,93620) = 4
LCM(93608,93620) = ( 93608 × 93620) / 4
LCM(93608,93620) = 8763580960 / 4
LCM(93608,93620) = 2190895240

Least Common Multiple (LCM) of 93608 and 93620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93608 and 93620. First we will calculate the prime factors of 93608 and 93620.

Prime Factorization of 93608

Prime factors of 93608 are 2, 11701. Prime factorization of 93608 in exponential form is:

93608 = 23 × 117011

Prime Factorization of 93620

Prime factors of 93620 are 2, 5, 31, 151. Prime factorization of 93620 in exponential form is:

93620 = 22 × 51 × 311 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 93608 and 93620.

LCM(93608,93620) = 23 × 117011 × 51 × 311 × 1511
LCM(93608,93620) = 2190895240