GCF and LCM Calculator Logo

What is the Least Common Multiple of 64288 and 64293?

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 64288 and 64293 is 4133268384.

LCM(64288,64293) = 4133268384

LCM Calculator and
and

Least Common Multiple of 64288 and 64293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64288 and 64293, than apply into the LCM equation.

GCF(64288,64293) = 1
LCM(64288,64293) = ( 64288 × 64293) / 1
LCM(64288,64293) = 4133268384 / 1
LCM(64288,64293) = 4133268384

Least Common Multiple (LCM) of 64288 and 64293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64288 and 64293. First we will calculate the prime factors of 64288 and 64293.

Prime Factorization of 64288

Prime factors of 64288 are 2, 7, 41. Prime factorization of 64288 in exponential form is:

64288 = 25 × 72 × 411

Prime Factorization of 64293

Prime factors of 64293 are 3, 29, 739. Prime factorization of 64293 in exponential form is:

64293 = 31 × 291 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 64288 and 64293.

LCM(64288,64293) = 25 × 72 × 411 × 31 × 291 × 7391
LCM(64288,64293) = 4133268384