What is the Least Common Multiple of 15696 and 15716?

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 15696 and 15716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15696 and 15716, than apply into the LCM equation.

GCF(15696,15716) = 4
LCM(15696,15716) = ( 15696 × 15716) / 4
LCM(15696,15716) = 246678336 / 4
LCM(15696,15716) = 61669584

Least Common Multiple (LCM) of 15696 and 15716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15696 and 15716. First we will calculate the prime factors of 15696 and 15716.

Prime Factorization of 15696

Prime Factorization of 15716

Now multiplying the highest exponent prime factors to calculate the LCM of 15696 and 15716.

LCM(15696,15716) = 2⁴ × 3² × 109¹ × 3929¹
LCM(15696,15716) = 61669584