What is the Least Common Multiple of 13085 and 13103?

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 13085 and 13103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13085 and 13103, than apply into the LCM equation.

GCF(13085,13103) = 1
LCM(13085,13103) = ( 13085 × 13103) / 1
LCM(13085,13103) = 171452755 / 1
LCM(13085,13103) = 171452755

Least Common Multiple (LCM) of 13085 and 13103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13085 and 13103. First we will calculate the prime factors of 13085 and 13103.

Prime Factorization of 13085

Prime Factorization of 13103

Now multiplying the highest exponent prime factors to calculate the LCM of 13085 and 13103.

LCM(13085,13103) = 5¹ × 2617¹ × 13103¹
LCM(13085,13103) = 171452755