What is the Least Common Multiple of 7848 and 7864?

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 7848 and 7864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7848 and 7864, than apply into the LCM equation.

GCF(7848,7864) = 8
LCM(7848,7864) = ( 7848 × 7864) / 8
LCM(7848,7864) = 61716672 / 8
LCM(7848,7864) = 7714584

Least Common Multiple (LCM) of 7848 and 7864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7848 and 7864. First we will calculate the prime factors of 7848 and 7864.

Prime Factorization of 7848

Prime Factorization of 7864

Now multiplying the highest exponent prime factors to calculate the LCM of 7848 and 7864.

LCM(7848,7864) = 2³ × 3² × 109¹ × 983¹
LCM(7848,7864) = 7714584