GCF and LCM Calculator Logo

What is the Least Common Multiple of 5327 and 5336?

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 5327 and 5336 is 28424872.

LCM(5327,5336) = 28424872

LCM Calculator and
and

Least Common Multiple of 5327 and 5336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5327 and 5336, than apply into the LCM equation.

GCF(5327,5336) = 1
LCM(5327,5336) = ( 5327 × 5336) / 1
LCM(5327,5336) = 28424872 / 1
LCM(5327,5336) = 28424872

Least Common Multiple (LCM) of 5327 and 5336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5327 and 5336. First we will calculate the prime factors of 5327 and 5336.

Prime Factorization of 5327

Prime factors of 5327 are 7, 761. Prime factorization of 5327 in exponential form is:

5327 = 71 × 7611

Prime Factorization of 5336

Prime factors of 5336 are 2, 23, 29. Prime factorization of 5336 in exponential form is:

5336 = 23 × 231 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 5327 and 5336.

LCM(5327,5336) = 71 × 7611 × 23 × 231 × 291
LCM(5327,5336) = 28424872