What is the Least Common Multiple of 57546 and 57559?

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 57546 and 57559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57546 and 57559, than apply into the LCM equation.

GCF(57546,57559) = 1
LCM(57546,57559) = ( 57546 × 57559) / 1
LCM(57546,57559) = 3312290214 / 1
LCM(57546,57559) = 3312290214

Least Common Multiple (LCM) of 57546 and 57559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57546 and 57559. First we will calculate the prime factors of 57546 and 57559.

Prime Factorization of 57546

Prime Factorization of 57559

Now multiplying the highest exponent prime factors to calculate the LCM of 57546 and 57559.

LCM(57546,57559) = 2¹ × 3² × 23¹ × 139¹ × 57559¹
LCM(57546,57559) = 3312290214