GCF and LCM Calculator Logo

What is the Least Common Multiple of 93392 and 93401?

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 93392 and 93401 is 8722906192.

LCM(93392,93401) = 8722906192

LCM Calculator and
and

Least Common Multiple of 93392 and 93401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93392 and 93401, than apply into the LCM equation.

GCF(93392,93401) = 1
LCM(93392,93401) = ( 93392 × 93401) / 1
LCM(93392,93401) = 8722906192 / 1
LCM(93392,93401) = 8722906192

Least Common Multiple (LCM) of 93392 and 93401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93392 and 93401. First we will calculate the prime factors of 93392 and 93401.

Prime Factorization of 93392

Prime factors of 93392 are 2, 13, 449. Prime factorization of 93392 in exponential form is:

93392 = 24 × 131 × 4491

Prime Factorization of 93401

Prime factors of 93401 are 7, 11, 1213. Prime factorization of 93401 in exponential form is:

93401 = 71 × 111 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 93392 and 93401.

LCM(93392,93401) = 24 × 131 × 4491 × 71 × 111 × 12131
LCM(93392,93401) = 8722906192