What is the Least Common Multiple of 57459 and 57473?

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 57459 and 57473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57459 and 57473, than apply into the LCM equation.

GCF(57459,57473) = 1
LCM(57459,57473) = ( 57459 × 57473) / 1
LCM(57459,57473) = 3302341107 / 1
LCM(57459,57473) = 3302341107

Least Common Multiple (LCM) of 57459 and 57473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57459 and 57473. First we will calculate the prime factors of 57459 and 57473.

Prime Factorization of 57459

Prime Factorization of 57473

Now multiplying the highest exponent prime factors to calculate the LCM of 57459 and 57473.

LCM(57459,57473) = 3¹ × 107¹ × 179¹ × 13¹ × 4421¹
LCM(57459,57473) = 3302341107