What is the Least Common Multiple of 28974 and 28989?

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 28974 and 28989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28974 and 28989, than apply into the LCM equation.

GCF(28974,28989) = 3
LCM(28974,28989) = ( 28974 × 28989) / 3
LCM(28974,28989) = 839927286 / 3
LCM(28974,28989) = 279975762

Least Common Multiple (LCM) of 28974 and 28989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28974 and 28989. First we will calculate the prime factors of 28974 and 28989.

Prime Factorization of 28974

Prime Factorization of 28989

Now multiplying the highest exponent prime factors to calculate the LCM of 28974 and 28989.

LCM(28974,28989) = 2¹ × 3² × 11¹ × 439¹ × 3221¹
LCM(28974,28989) = 279975762