What is the Least Common Multiple of 15696 and 15710?

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 15710 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 15710, than apply into the LCM equation.

GCF(15696,15710) = 2
LCM(15696,15710) = ( 15696 × 15710) / 2
LCM(15696,15710) = 246584160 / 2
LCM(15696,15710) = 123292080

Least Common Multiple (LCM) of 15696 and 15710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15696 and 15710. First we will calculate the prime factors of 15696 and 15710.

Prime Factorization of 15696

Prime Factorization of 15710

Now multiplying the highest exponent prime factors to calculate the LCM of 15696 and 15710.

LCM(15696,15710) = 2⁴ × 3² × 109¹ × 5¹ × 1571¹
LCM(15696,15710) = 123292080