What is the Least Common Multiple of 13014 and 13028?

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 13014 and 13028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13014 and 13028, than apply into the LCM equation.

GCF(13014,13028) = 2
LCM(13014,13028) = ( 13014 × 13028) / 2
LCM(13014,13028) = 169546392 / 2
LCM(13014,13028) = 84773196

Least Common Multiple (LCM) of 13014 and 13028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13014 and 13028. First we will calculate the prime factors of 13014 and 13028.

Prime Factorization of 13014

Prime Factorization of 13028

Now multiplying the highest exponent prime factors to calculate the LCM of 13014 and 13028.

LCM(13014,13028) = 2² × 3³ × 241¹ × 3257¹
LCM(13014,13028) = 84773196