What is the Least Common Multiple of 93024 and 93030?

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 93030 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 93030, than apply into the LCM equation.

GCF(93024,93030) = 6
LCM(93024,93030) = ( 93024 × 93030) / 6
LCM(93024,93030) = 8654022720 / 6
LCM(93024,93030) = 1442337120

Least Common Multiple (LCM) of 93024 and 93030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93024 and 93030. First we will calculate the prime factors of 93024 and 93030.

Prime Factorization of 93024

Prime Factorization of 93030

Now multiplying the highest exponent prime factors to calculate the LCM of 93024 and 93030.

LCM(93024,93030) = 2⁵ × 3² × 17¹ × 19¹ × 5¹ × 7¹ × 443¹
LCM(93024,93030) = 1442337120