What is the Least Common Multiple of 93505 and 93525?

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 93505 and 93525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93505 and 93525, than apply into the LCM equation.

GCF(93505,93525) = 5
LCM(93505,93525) = ( 93505 × 93525) / 5
LCM(93505,93525) = 8745055125 / 5
LCM(93505,93525) = 1749011025

Least Common Multiple (LCM) of 93505 and 93525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93505 and 93525. First we will calculate the prime factors of 93505 and 93525.

Prime Factorization of 93505

Prime Factorization of 93525

Now multiplying the highest exponent prime factors to calculate the LCM of 93505 and 93525.

LCM(93505,93525) = 5² × 18701¹ × 3¹ × 29¹ × 43¹
LCM(93505,93525) = 1749011025