What is the Least Common Multiple of 57475 and 57493?

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 57475 and 57493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57475 and 57493, than apply into the LCM equation.

GCF(57475,57493) = 1
LCM(57475,57493) = ( 57475 × 57493) / 1
LCM(57475,57493) = 3304410175 / 1
LCM(57475,57493) = 3304410175

Least Common Multiple (LCM) of 57475 and 57493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57475 and 57493. First we will calculate the prime factors of 57475 and 57493.

Prime Factorization of 57475

Prime Factorization of 57493

Now multiplying the highest exponent prime factors to calculate the LCM of 57475 and 57493.

LCM(57475,57493) = 5² × 11² × 19¹ × 57493¹
LCM(57475,57493) = 3304410175