What is the Least Common Multiple of 28959 and 28978?

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 28959 and 28978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28959 and 28978, than apply into the LCM equation.

GCF(28959,28978) = 1
LCM(28959,28978) = ( 28959 × 28978) / 1
LCM(28959,28978) = 839173902 / 1
LCM(28959,28978) = 839173902

Least Common Multiple (LCM) of 28959 and 28978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28959 and 28978. First we will calculate the prime factors of 28959 and 28978.

Prime Factorization of 28959

Prime Factorization of 28978

Now multiplying the highest exponent prime factors to calculate the LCM of 28959 and 28978.

LCM(28959,28978) = 3¹ × 7² × 197¹ × 2¹ × 14489¹
LCM(28959,28978) = 839173902