GCF and LCM Calculator Logo

What is the Least Common Multiple of 93708 and 93713?

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 93708 and 93713 is 8781657804.

LCM(93708,93713) = 8781657804

LCM Calculator and
and

Least Common Multiple of 93708 and 93713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93708 and 93713, than apply into the LCM equation.

GCF(93708,93713) = 1
LCM(93708,93713) = ( 93708 × 93713) / 1
LCM(93708,93713) = 8781657804 / 1
LCM(93708,93713) = 8781657804

Least Common Multiple (LCM) of 93708 and 93713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93708 and 93713. First we will calculate the prime factors of 93708 and 93713.

Prime Factorization of 93708

Prime factors of 93708 are 2, 3, 19, 137. Prime factorization of 93708 in exponential form is:

93708 = 22 × 32 × 191 × 1371

Prime Factorization of 93713

Prime factors of 93713 are 31, 3023. Prime factorization of 93713 in exponential form is:

93713 = 311 × 30231

Now multiplying the highest exponent prime factors to calculate the LCM of 93708 and 93713.

LCM(93708,93713) = 22 × 32 × 191 × 1371 × 311 × 30231
LCM(93708,93713) = 8781657804