GCF and LCM Calculator Logo

What is the Least Common Multiple of 93346 and 93359?

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 93346 and 93359 is 8714689214.

LCM(93346,93359) = 8714689214

LCM Calculator and
and

Least Common Multiple of 93346 and 93359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93346 and 93359, than apply into the LCM equation.

GCF(93346,93359) = 1
LCM(93346,93359) = ( 93346 × 93359) / 1
LCM(93346,93359) = 8714689214 / 1
LCM(93346,93359) = 8714689214

Least Common Multiple (LCM) of 93346 and 93359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93346 and 93359. First we will calculate the prime factors of 93346 and 93359.

Prime Factorization of 93346

Prime factors of 93346 are 2, 11, 4243. Prime factorization of 93346 in exponential form is:

93346 = 21 × 111 × 42431

Prime Factorization of 93359

Prime factors of 93359 are 7, 13337. Prime factorization of 93359 in exponential form is:

93359 = 71 × 133371

Now multiplying the highest exponent prime factors to calculate the LCM of 93346 and 93359.

LCM(93346,93359) = 21 × 111 × 42431 × 71 × 133371
LCM(93346,93359) = 8714689214