What is the Least Common Multiple of 93024 and 93035?

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 93024 and 93035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93024 and 93035, than apply into the LCM equation.

GCF(93024,93035) = 1
LCM(93024,93035) = ( 93024 × 93035) / 1
LCM(93024,93035) = 8654487840 / 1
LCM(93024,93035) = 8654487840

Least Common Multiple (LCM) of 93024 and 93035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93024 and 93035. First we will calculate the prime factors of 93024 and 93035.

Prime Factorization of 93024

Prime Factorization of 93035

Now multiplying the highest exponent prime factors to calculate the LCM of 93024 and 93035.

LCM(93024,93035) = 2⁵ × 3² × 17¹ × 19¹ × 5¹ × 23¹ × 809¹
LCM(93024,93035) = 8654487840