What is the Least Common Multiple of 28638 and 28657?

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 28657 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 28657, than apply into the LCM equation.

GCF(28638,28657) = 1
LCM(28638,28657) = ( 28638 × 28657) / 1
LCM(28638,28657) = 820679166 / 1
LCM(28638,28657) = 820679166

Least Common Multiple (LCM) of 28638 and 28657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28638 and 28657. First we will calculate the prime factors of 28638 and 28657.

Prime Factorization of 28638

Prime Factorization of 28657

Now multiplying the highest exponent prime factors to calculate the LCM of 28638 and 28657.

LCM(28638,28657) = 2¹ × 3² × 37¹ × 43¹ × 28657¹
LCM(28638,28657) = 820679166