GCF and LCM Calculator Logo

What is the Least Common Multiple of 93401 and 93418?

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 93401 and 93418 is 8725334618.

LCM(93401,93418) = 8725334618

LCM Calculator and
and

Least Common Multiple of 93401 and 93418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93401 and 93418, than apply into the LCM equation.

GCF(93401,93418) = 1
LCM(93401,93418) = ( 93401 × 93418) / 1
LCM(93401,93418) = 8725334618 / 1
LCM(93401,93418) = 8725334618

Least Common Multiple (LCM) of 93401 and 93418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93401 and 93418. First we will calculate the prime factors of 93401 and 93418.

Prime Factorization of 93401

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

93401 = 71 × 111 × 12131

Prime Factorization of 93418

Prime factors of 93418 are 2, 13, 3593. Prime factorization of 93418 in exponential form is:

93418 = 21 × 131 × 35931

Now multiplying the highest exponent prime factors to calculate the LCM of 93401 and 93418.

LCM(93401,93418) = 71 × 111 × 12131 × 21 × 131 × 35931
LCM(93401,93418) = 8725334618