What is the Least Common Multiple of 28836 and 28848?

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 28836 and 28848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28836 and 28848, than apply into the LCM equation.

GCF(28836,28848) = 12
LCM(28836,28848) = ( 28836 × 28848) / 12
LCM(28836,28848) = 831860928 / 12
LCM(28836,28848) = 69321744

Least Common Multiple (LCM) of 28836 and 28848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28836 and 28848. First we will calculate the prime factors of 28836 and 28848.

Prime Factorization of 28836

Prime Factorization of 28848

Now multiplying the highest exponent prime factors to calculate the LCM of 28836 and 28848.

LCM(28836,28848) = 2⁴ × 3⁴ × 89¹ × 601¹
LCM(28836,28848) = 69321744