What is the Least Common Multiple of 27814 and 27828?

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 of 27814 and 27828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27814 and 27828, than apply into the LCM equation.

GCF(27814,27828) = 2
LCM(27814,27828) = ( 27814 × 27828) / 2
LCM(27814,27828) = 774007992 / 2
LCM(27814,27828) = 387003996

Least Common Multiple (LCM) of 27814 and 27828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27814 and 27828. First we will calculate the prime factors of 27814 and 27828.

Prime Factorization of 27814

Prime Factorization of 27828

Now multiplying the highest exponent prime factors to calculate the LCM of 27814 and 27828.

LCM(27814,27828) = 2² × 13907¹ × 3² × 773¹
LCM(27814,27828) = 387003996