GCF and LCM Calculator Logo

What is the Least Common Multiple of 93286 and 93292?

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 93286 and 93292 is 4351418756.

LCM(93286,93292) = 4351418756

LCM Calculator and
and

Least Common Multiple of 93286 and 93292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93286 and 93292, than apply into the LCM equation.

GCF(93286,93292) = 2
LCM(93286,93292) = ( 93286 × 93292) / 2
LCM(93286,93292) = 8702837512 / 2
LCM(93286,93292) = 4351418756

Least Common Multiple (LCM) of 93286 and 93292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93286 and 93292. First we will calculate the prime factors of 93286 and 93292.

Prime Factorization of 93286

Prime factors of 93286 are 2, 46643. Prime factorization of 93286 in exponential form is:

93286 = 21 × 466431

Prime Factorization of 93292

Prime factors of 93292 are 2, 83, 281. Prime factorization of 93292 in exponential form is:

93292 = 22 × 831 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 93286 and 93292.

LCM(93286,93292) = 22 × 466431 × 831 × 2811
LCM(93286,93292) = 4351418756