What is the Least Common Multiple of 57036 and 57045?

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 57036 and 57045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57036 and 57045, than apply into the LCM equation.

GCF(57036,57045) = 3
LCM(57036,57045) = ( 57036 × 57045) / 3
LCM(57036,57045) = 3253618620 / 3
LCM(57036,57045) = 1084539540

Least Common Multiple (LCM) of 57036 and 57045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57036 and 57045. First we will calculate the prime factors of 57036 and 57045.

Prime Factorization of 57036

Prime Factorization of 57045

Now multiplying the highest exponent prime factors to calculate the LCM of 57036 and 57045.

LCM(57036,57045) = 2² × 3¹ × 7² × 97¹ × 5¹ × 3803¹
LCM(57036,57045) = 1084539540