What is the Least Common Multiple of 28830 and 28845?

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 28830 and 28845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28830 and 28845, than apply into the LCM equation.

GCF(28830,28845) = 15
LCM(28830,28845) = ( 28830 × 28845) / 15
LCM(28830,28845) = 831601350 / 15
LCM(28830,28845) = 55440090

Least Common Multiple (LCM) of 28830 and 28845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28830 and 28845. First we will calculate the prime factors of 28830 and 28845.

Prime Factorization of 28830

Prime Factorization of 28845

Now multiplying the highest exponent prime factors to calculate the LCM of 28830 and 28845.

LCM(28830,28845) = 2¹ × 3² × 5¹ × 31² × 641¹
LCM(28830,28845) = 55440090