What is the Least Common Multiple of 13021 and 13039?

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 13021 and 13039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13021 and 13039, than apply into the LCM equation.

GCF(13021,13039) = 1
LCM(13021,13039) = ( 13021 × 13039) / 1
LCM(13021,13039) = 169780819 / 1
LCM(13021,13039) = 169780819

Least Common Multiple (LCM) of 13021 and 13039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13021 and 13039. First we will calculate the prime factors of 13021 and 13039.

Prime Factorization of 13021

Prime Factorization of 13039

Now multiplying the highest exponent prime factors to calculate the LCM of 13021 and 13039.

LCM(13021,13039) = 29¹ × 449¹ × 13¹ × 17¹ × 59¹
LCM(13021,13039) = 169780819