What is the Least Common Multiple of 17012 and 17028?

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 17012 and 17028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17012 and 17028, than apply into the LCM equation.

GCF(17012,17028) = 4
LCM(17012,17028) = ( 17012 × 17028) / 4
LCM(17012,17028) = 289680336 / 4
LCM(17012,17028) = 72420084

Least Common Multiple (LCM) of 17012 and 17028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17012 and 17028. First we will calculate the prime factors of 17012 and 17028.

Prime Factorization of 17012

Prime Factorization of 17028

Now multiplying the highest exponent prime factors to calculate the LCM of 17012 and 17028.

LCM(17012,17028) = 2² × 4253¹ × 3² × 11¹ × 43¹
LCM(17012,17028) = 72420084