GCF and LCM Calculator Logo

What is the Least Common Multiple of 93116 and 93129?

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 93116 and 93129 is 8671799964.

LCM(93116,93129) = 8671799964

LCM Calculator and
and

Least Common Multiple of 93116 and 93129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93116 and 93129, than apply into the LCM equation.

GCF(93116,93129) = 1
LCM(93116,93129) = ( 93116 × 93129) / 1
LCM(93116,93129) = 8671799964 / 1
LCM(93116,93129) = 8671799964

Least Common Multiple (LCM) of 93116 and 93129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93116 and 93129. First we will calculate the prime factors of 93116 and 93129.

Prime Factorization of 93116

Prime factors of 93116 are 2, 23279. Prime factorization of 93116 in exponential form is:

93116 = 22 × 232791

Prime Factorization of 93129

Prime factors of 93129 are 3, 37, 839. Prime factorization of 93129 in exponential form is:

93129 = 31 × 371 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 93116 and 93129.

LCM(93116,93129) = 22 × 232791 × 31 × 371 × 8391
LCM(93116,93129) = 8671799964