What is the Least Common Multiple of 28978 and 28998?

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 28978 and 28998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28978 and 28998, than apply into the LCM equation.

GCF(28978,28998) = 2
LCM(28978,28998) = ( 28978 × 28998) / 2
LCM(28978,28998) = 840304044 / 2
LCM(28978,28998) = 420152022

Least Common Multiple (LCM) of 28978 and 28998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28978 and 28998. First we will calculate the prime factors of 28978 and 28998.

Prime Factorization of 28978

Prime Factorization of 28998

Now multiplying the highest exponent prime factors to calculate the LCM of 28978 and 28998.

LCM(28978,28998) = 2¹ × 14489¹ × 3⁴ × 179¹
LCM(28978,28998) = 420152022