What is the Least Common Multiple of 27696 and 27704?

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 27696 and 27704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27696 and 27704, than apply into the LCM equation.

GCF(27696,27704) = 8
LCM(27696,27704) = ( 27696 × 27704) / 8
LCM(27696,27704) = 767289984 / 8
LCM(27696,27704) = 95911248

Least Common Multiple (LCM) of 27696 and 27704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27696 and 27704. First we will calculate the prime factors of 27696 and 27704.

Prime Factorization of 27696

Prime Factorization of 27704

Now multiplying the highest exponent prime factors to calculate the LCM of 27696 and 27704.

LCM(27696,27704) = 2⁴ × 3¹ × 577¹ × 3463¹
LCM(27696,27704) = 95911248