What is the Least Common Multiple of 57486 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 57486 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 57486 and 57493, than apply into the LCM equation.

GCF(57486,57493) = 1
LCM(57486,57493) = ( 57486 × 57493) / 1
LCM(57486,57493) = 3305042598 / 1
LCM(57486,57493) = 3305042598

Least Common Multiple (LCM) of 57486 and 57493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57486 and 57493. First we will calculate the prime factors of 57486 and 57493.

Prime Factorization of 57486

Prime Factorization of 57493

Now multiplying the highest exponent prime factors to calculate the LCM of 57486 and 57493.

LCM(57486,57493) = 2¹ × 3¹ × 11¹ × 13¹ × 67¹ × 57493¹
LCM(57486,57493) = 3305042598