What is the Least Common Multiple of 27696 and 27716?

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 27716 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 27716, than apply into the LCM equation.

GCF(27696,27716) = 4
LCM(27696,27716) = ( 27696 × 27716) / 4
LCM(27696,27716) = 767622336 / 4
LCM(27696,27716) = 191905584

Least Common Multiple (LCM) of 27696 and 27716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27696 and 27716. First we will calculate the prime factors of 27696 and 27716.

Prime Factorization of 27696

Prime Factorization of 27716

Now multiplying the highest exponent prime factors to calculate the LCM of 27696 and 27716.

LCM(27696,27716) = 2⁴ × 3¹ × 577¹ × 13² × 41¹
LCM(27696,27716) = 191905584