What is the Least Common Multiple of 28470 and 28488?

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 28470 and 28488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28470 and 28488, than apply into the LCM equation.

GCF(28470,28488) = 6
LCM(28470,28488) = ( 28470 × 28488) / 6
LCM(28470,28488) = 811053360 / 6
LCM(28470,28488) = 135175560

Least Common Multiple (LCM) of 28470 and 28488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28470 and 28488. First we will calculate the prime factors of 28470 and 28488.

Prime Factorization of 28470

Prime Factorization of 28488

Now multiplying the highest exponent prime factors to calculate the LCM of 28470 and 28488.

LCM(28470,28488) = 2³ × 3¹ × 5¹ × 13¹ × 73¹ × 1187¹
LCM(28470,28488) = 135175560