What is the Least Common Multiple of 28494 and 28503?

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 28494 and 28503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28494 and 28503, than apply into the LCM equation.

GCF(28494,28503) = 9
LCM(28494,28503) = ( 28494 × 28503) / 9
LCM(28494,28503) = 812164482 / 9
LCM(28494,28503) = 90240498

Least Common Multiple (LCM) of 28494 and 28503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28494 and 28503. First we will calculate the prime factors of 28494 and 28503.

Prime Factorization of 28494

Prime Factorization of 28503

Now multiplying the highest exponent prime factors to calculate the LCM of 28494 and 28503.

LCM(28494,28503) = 2¹ × 3² × 1583¹ × 3167¹
LCM(28494,28503) = 90240498