What is the Least Common Multiple of 13074 and 13083?

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 13074 and 13083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13074 and 13083, than apply into the LCM equation.

GCF(13074,13083) = 3
LCM(13074,13083) = ( 13074 × 13083) / 3
LCM(13074,13083) = 171047142 / 3
LCM(13074,13083) = 57015714

Least Common Multiple (LCM) of 13074 and 13083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13074 and 13083. First we will calculate the prime factors of 13074 and 13083.

Prime Factorization of 13074

Prime Factorization of 13083

Now multiplying the highest exponent prime factors to calculate the LCM of 13074 and 13083.

LCM(13074,13083) = 2¹ × 3¹ × 2179¹ × 7² × 89¹
LCM(13074,13083) = 57015714