GCF and LCM Calculator Logo

What is the Least Common Multiple of 93344 and 93352?

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 93344 and 93352 is 1089231136.

LCM(93344,93352) = 1089231136

LCM Calculator and
and

Least Common Multiple of 93344 and 93352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93344 and 93352, than apply into the LCM equation.

GCF(93344,93352) = 8
LCM(93344,93352) = ( 93344 × 93352) / 8
LCM(93344,93352) = 8713849088 / 8
LCM(93344,93352) = 1089231136

Least Common Multiple (LCM) of 93344 and 93352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93344 and 93352. First we will calculate the prime factors of 93344 and 93352.

Prime Factorization of 93344

Prime factors of 93344 are 2, 2917. Prime factorization of 93344 in exponential form is:

93344 = 25 × 29171

Prime Factorization of 93352

Prime factors of 93352 are 2, 7, 1667. Prime factorization of 93352 in exponential form is:

93352 = 23 × 71 × 16671

Now multiplying the highest exponent prime factors to calculate the LCM of 93344 and 93352.

LCM(93344,93352) = 25 × 29171 × 71 × 16671
LCM(93344,93352) = 1089231136