What is the Least Common Multiple of 57057 and 57071?

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 57057 and 57071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57057 and 57071, than apply into the LCM equation.

GCF(57057,57071) = 7
LCM(57057,57071) = ( 57057 × 57071) / 7
LCM(57057,57071) = 3256300047 / 7
LCM(57057,57071) = 465185721

Least Common Multiple (LCM) of 57057 and 57071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57057 and 57071. First we will calculate the prime factors of 57057 and 57071.

Prime Factorization of 57057

Prime Factorization of 57071

Now multiplying the highest exponent prime factors to calculate the LCM of 57057 and 57071.

LCM(57057,57071) = 3¹ × 7¹ × 11¹ × 13¹ × 19¹ × 31¹ × 263¹
LCM(57057,57071) = 465185721