GCF and LCM Calculator Logo

What is the Least Common Multiple of 93688 and 93700?

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 93688 and 93700 is 2194641400.

LCM(93688,93700) = 2194641400

LCM Calculator and
and

Least Common Multiple of 93688 and 93700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93688 and 93700, than apply into the LCM equation.

GCF(93688,93700) = 4
LCM(93688,93700) = ( 93688 × 93700) / 4
LCM(93688,93700) = 8778565600 / 4
LCM(93688,93700) = 2194641400

Least Common Multiple (LCM) of 93688 and 93700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93688 and 93700. First we will calculate the prime factors of 93688 and 93700.

Prime Factorization of 93688

Prime factors of 93688 are 2, 7, 239. Prime factorization of 93688 in exponential form is:

93688 = 23 × 72 × 2391

Prime Factorization of 93700

Prime factors of 93700 are 2, 5, 937. Prime factorization of 93700 in exponential form is:

93700 = 22 × 52 × 9371

Now multiplying the highest exponent prime factors to calculate the LCM of 93688 and 93700.

LCM(93688,93700) = 23 × 72 × 2391 × 52 × 9371
LCM(93688,93700) = 2194641400