What is the Least Common Multiple of 93030 and 93045?

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 93030 and 93045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93030 and 93045, than apply into the LCM equation.

GCF(93030,93045) = 15
LCM(93030,93045) = ( 93030 × 93045) / 15
LCM(93030,93045) = 8655976350 / 15
LCM(93030,93045) = 577065090

Least Common Multiple (LCM) of 93030 and 93045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93030 and 93045. First we will calculate the prime factors of 93030 and 93045.

Prime Factorization of 93030

Prime Factorization of 93045

Now multiplying the highest exponent prime factors to calculate the LCM of 93030 and 93045.

LCM(93030,93045) = 2¹ × 3¹ × 5¹ × 7¹ × 443¹ × 6203¹
LCM(93030,93045) = 577065090