What is the Least Common Multiple of 93475 and 93493?

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 93475 and 93493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93475 and 93493, than apply into the LCM equation.

GCF(93475,93493) = 1
LCM(93475,93493) = ( 93475 × 93493) / 1
LCM(93475,93493) = 8739258175 / 1
LCM(93475,93493) = 8739258175

Least Common Multiple (LCM) of 93475 and 93493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93475 and 93493. First we will calculate the prime factors of 93475 and 93493.

Prime Factorization of 93475

Prime Factorization of 93493

Now multiplying the highest exponent prime factors to calculate the LCM of 93475 and 93493.

LCM(93475,93493) = 5² × 3739¹ × 93493¹
LCM(93475,93493) = 8739258175