What is the Least Common Multiple of 28860 and 28875?

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 28860 and 28875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28860 and 28875, than apply into the LCM equation.

GCF(28860,28875) = 15
LCM(28860,28875) = ( 28860 × 28875) / 15
LCM(28860,28875) = 833332500 / 15
LCM(28860,28875) = 55555500

Least Common Multiple (LCM) of 28860 and 28875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28860 and 28875. First we will calculate the prime factors of 28860 and 28875.

Prime Factorization of 28860

Prime Factorization of 28875

Now multiplying the highest exponent prime factors to calculate the LCM of 28860 and 28875.

LCM(28860,28875) = 2² × 3¹ × 5³ × 13¹ × 37¹ × 7¹ × 11¹
LCM(28860,28875) = 55555500