What is the Least Common Multiple of 93024 and 93029?

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 93029 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 93029, than apply into the LCM equation.

GCF(93024,93029) = 1
LCM(93024,93029) = ( 93024 × 93029) / 1
LCM(93024,93029) = 8653929696 / 1
LCM(93024,93029) = 8653929696

Least Common Multiple (LCM) of 93024 and 93029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93024 and 93029. First we will calculate the prime factors of 93024 and 93029.

Prime Factorization of 93024

Prime Factorization of 93029

Now multiplying the highest exponent prime factors to calculate the LCM of 93024 and 93029.

LCM(93024,93029) = 2⁵ × 3² × 17¹ × 19¹ × 41¹ × 2269¹
LCM(93024,93029) = 8653929696