What is the Least Common Multiple of 57045 and 57057?

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 57045 and 57057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57045 and 57057, than apply into the LCM equation.

GCF(57045,57057) = 3
LCM(57045,57057) = ( 57045 × 57057) / 3
LCM(57045,57057) = 3254816565 / 3
LCM(57045,57057) = 1084938855

Least Common Multiple (LCM) of 57045 and 57057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57045 and 57057. First we will calculate the prime factors of 57045 and 57057.

Prime Factorization of 57045

Prime Factorization of 57057

Now multiplying the highest exponent prime factors to calculate the LCM of 57045 and 57057.

LCM(57045,57057) = 3¹ × 5¹ × 3803¹ × 7¹ × 11¹ × 13¹ × 19¹
LCM(57045,57057) = 1084938855