What is the Least Common Multiple of 8064 and 8078?

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 8064 and 8078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8064 and 8078, than apply into the LCM equation.

GCF(8064,8078) = 14
LCM(8064,8078) = ( 8064 × 8078) / 14
LCM(8064,8078) = 65140992 / 14
LCM(8064,8078) = 4652928

Least Common Multiple (LCM) of 8064 and 8078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8064 and 8078. First we will calculate the prime factors of 8064 and 8078.

Prime Factorization of 8064

Prime Factorization of 8078

Now multiplying the highest exponent prime factors to calculate the LCM of 8064 and 8078.

LCM(8064,8078) = 2⁷ × 3² × 7¹ × 577¹
LCM(8064,8078) = 4652928