What is the Least Common Multiple of 15696 and 15705?

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 15705 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 15705, than apply into the LCM equation.

GCF(15696,15705) = 9
LCM(15696,15705) = ( 15696 × 15705) / 9
LCM(15696,15705) = 246505680 / 9
LCM(15696,15705) = 27389520

Least Common Multiple (LCM) of 15696 and 15705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15696 and 15705. First we will calculate the prime factors of 15696 and 15705.

Prime Factorization of 15696

Prime Factorization of 15705

Now multiplying the highest exponent prime factors to calculate the LCM of 15696 and 15705.

LCM(15696,15705) = 2⁴ × 3² × 109¹ × 5¹ × 349¹
LCM(15696,15705) = 27389520