GCF and LCM Calculator Logo

What is the Least Common Multiple of 27323 and 27335?

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 27323 and 27335 is 746874205.

LCM(27323,27335) = 746874205

LCM Calculator and
and

Least Common Multiple of 27323 and 27335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27323 and 27335, than apply into the LCM equation.

GCF(27323,27335) = 1
LCM(27323,27335) = ( 27323 × 27335) / 1
LCM(27323,27335) = 746874205 / 1
LCM(27323,27335) = 746874205

Least Common Multiple (LCM) of 27323 and 27335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27323 and 27335. First we will calculate the prime factors of 27323 and 27335.

Prime Factorization of 27323

Prime factors of 27323 are 89, 307. Prime factorization of 27323 in exponential form is:

27323 = 891 × 3071

Prime Factorization of 27335

Prime factors of 27335 are 5, 7, 11, 71. Prime factorization of 27335 in exponential form is:

27335 = 51 × 71 × 111 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 27323 and 27335.

LCM(27323,27335) = 891 × 3071 × 51 × 71 × 111 × 711
LCM(27323,27335) = 746874205