What is the Least Common Multiple of 28989 and 29001?

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 28989 and 29001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28989 and 29001, than apply into the LCM equation.

GCF(28989,29001) = 3
LCM(28989,29001) = ( 28989 × 29001) / 3
LCM(28989,29001) = 840709989 / 3
LCM(28989,29001) = 280236663

Least Common Multiple (LCM) of 28989 and 29001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28989 and 29001. First we will calculate the prime factors of 28989 and 29001.

Prime Factorization of 28989

Prime Factorization of 29001

Now multiplying the highest exponent prime factors to calculate the LCM of 28989 and 29001.

LCM(28989,29001) = 3² × 3221¹ × 7¹ × 1381¹
LCM(28989,29001) = 280236663