GCF and LCM Calculator Logo

What is the Least Common Multiple of 93354 and 93363?

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 93354 and 93363 is 2905269834.

LCM(93354,93363) = 2905269834

LCM Calculator and
and

Least Common Multiple of 93354 and 93363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93354 and 93363, than apply into the LCM equation.

GCF(93354,93363) = 3
LCM(93354,93363) = ( 93354 × 93363) / 3
LCM(93354,93363) = 8715809502 / 3
LCM(93354,93363) = 2905269834

Least Common Multiple (LCM) of 93354 and 93363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93354 and 93363. First we will calculate the prime factors of 93354 and 93363.

Prime Factorization of 93354

Prime factors of 93354 are 2, 3, 15559. Prime factorization of 93354 in exponential form is:

93354 = 21 × 31 × 155591

Prime Factorization of 93363

Prime factors of 93363 are 3, 31121. Prime factorization of 93363 in exponential form is:

93363 = 31 × 311211

Now multiplying the highest exponent prime factors to calculate the LCM of 93354 and 93363.

LCM(93354,93363) = 21 × 31 × 155591 × 311211
LCM(93354,93363) = 2905269834