GCF and LCM Calculator Logo

What is the Least Common Multiple of 65279 and 65296?

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 65279 and 65296 is 4262457584.

LCM(65279,65296) = 4262457584

LCM Calculator and
and

Least Common Multiple of 65279 and 65296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65279 and 65296, than apply into the LCM equation.

GCF(65279,65296) = 1
LCM(65279,65296) = ( 65279 × 65296) / 1
LCM(65279,65296) = 4262457584 / 1
LCM(65279,65296) = 4262457584

Least Common Multiple (LCM) of 65279 and 65296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65279 and 65296. First we will calculate the prime factors of 65279 and 65296.

Prime Factorization of 65279

Prime factors of 65279 are 29, 2251. Prime factorization of 65279 in exponential form is:

65279 = 291 × 22511

Prime Factorization of 65296

Prime factors of 65296 are 2, 7, 11, 53. Prime factorization of 65296 in exponential form is:

65296 = 24 × 71 × 111 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 65279 and 65296.

LCM(65279,65296) = 291 × 22511 × 24 × 71 × 111 × 531
LCM(65279,65296) = 4262457584