What is the Least Common Multiple of 57072 and 57076?

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 57072 and 57076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57072 and 57076, than apply into the LCM equation.

GCF(57072,57076) = 4
LCM(57072,57076) = ( 57072 × 57076) / 4
LCM(57072,57076) = 3257441472 / 4
LCM(57072,57076) = 814360368

Least Common Multiple (LCM) of 57072 and 57076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57072 and 57076. First we will calculate the prime factors of 57072 and 57076.

Prime Factorization of 57072

Prime Factorization of 57076

Now multiplying the highest exponent prime factors to calculate the LCM of 57072 and 57076.

LCM(57072,57076) = 2⁴ × 3¹ × 29¹ × 41¹ × 19¹ × 751¹
LCM(57072,57076) = 814360368