What is the Least Common Multiple of 8064 and 8076?

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 8076 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 8076, than apply into the LCM equation.

GCF(8064,8076) = 12
LCM(8064,8076) = ( 8064 × 8076) / 12
LCM(8064,8076) = 65124864 / 12
LCM(8064,8076) = 5427072

Least Common Multiple (LCM) of 8064 and 8076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8064 and 8076. First we will calculate the prime factors of 8064 and 8076.

Prime Factorization of 8064

Prime Factorization of 8076

Now multiplying the highest exponent prime factors to calculate the LCM of 8064 and 8076.

LCM(8064,8076) = 2⁷ × 3² × 7¹ × 673¹
LCM(8064,8076) = 5427072