What is the Least Common Multiple of 28638 and 28653?

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 28638 and 28653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28638 and 28653, than apply into the LCM equation.

GCF(28638,28653) = 3
LCM(28638,28653) = ( 28638 × 28653) / 3
LCM(28638,28653) = 820564614 / 3
LCM(28638,28653) = 273521538

Least Common Multiple (LCM) of 28638 and 28653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28638 and 28653. First we will calculate the prime factors of 28638 and 28653.

Prime Factorization of 28638

Prime Factorization of 28653

Now multiplying the highest exponent prime factors to calculate the LCM of 28638 and 28653.

LCM(28638,28653) = 2¹ × 3² × 37¹ × 43¹ × 9551¹
LCM(28638,28653) = 273521538