What is the Least Common Multiple of 48696 and 48714?

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 48696 and 48714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48696 and 48714, than apply into the LCM equation.

GCF(48696,48714) = 6
LCM(48696,48714) = ( 48696 × 48714) / 6
LCM(48696,48714) = 2372176944 / 6
LCM(48696,48714) = 395362824

Least Common Multiple (LCM) of 48696 and 48714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48696 and 48714. First we will calculate the prime factors of 48696 and 48714.

Prime Factorization of 48696

Prime Factorization of 48714

Now multiplying the highest exponent prime factors to calculate the LCM of 48696 and 48714.

LCM(48696,48714) = 2³ × 3¹ × 2029¹ × 23¹ × 353¹
LCM(48696,48714) = 395362824