What is the Least Common Multiple of 93344 and 93348?

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 of 93344 and 93348 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 93348, than apply into the LCM equation.

GCF(93344,93348) = 4
LCM(93344,93348) = ( 93344 × 93348) / 4
LCM(93344,93348) = 8713475712 / 4
LCM(93344,93348) = 2178368928

Least Common Multiple (LCM) of 93344 and 93348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93344 and 93348. First we will calculate the prime factors of 93344 and 93348.

Prime Factorization of 93344

Prime Factorization of 93348

Now multiplying the highest exponent prime factors to calculate the LCM of 93344 and 93348.

LCM(93344,93348) = 2⁵ × 2917¹ × 3² × 2593¹
LCM(93344,93348) = 2178368928