What is the Least Common Multiple of 23064 and 23076?

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 23064 and 23076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23064 and 23076, than apply into the LCM equation.

GCF(23064,23076) = 12
LCM(23064,23076) = ( 23064 × 23076) / 12
LCM(23064,23076) = 532224864 / 12
LCM(23064,23076) = 44352072

Least Common Multiple (LCM) of 23064 and 23076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23064 and 23076. First we will calculate the prime factors of 23064 and 23076.

Prime Factorization of 23064

Prime Factorization of 23076

Now multiplying the highest exponent prime factors to calculate the LCM of 23064 and 23076.

LCM(23064,23076) = 2³ × 3² × 31² × 641¹
LCM(23064,23076) = 44352072