GCF and LCM Calculator Logo

What is the Least Common Multiple of 27307 and 27323?

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 27307 and 27323 is 746109161.

LCM(27307,27323) = 746109161

LCM Calculator and
and

Least Common Multiple of 27307 and 27323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27307 and 27323, than apply into the LCM equation.

GCF(27307,27323) = 1
LCM(27307,27323) = ( 27307 × 27323) / 1
LCM(27307,27323) = 746109161 / 1
LCM(27307,27323) = 746109161

Least Common Multiple (LCM) of 27307 and 27323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27307 and 27323. First we will calculate the prime factors of 27307 and 27323.

Prime Factorization of 27307

Prime factors of 27307 are 7, 47, 83. Prime factorization of 27307 in exponential form is:

27307 = 71 × 471 × 831

Prime Factorization of 27323

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

27323 = 891 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 27307 and 27323.

LCM(27307,27323) = 71 × 471 × 831 × 891 × 3071
LCM(27307,27323) = 746109161