What is the Least Common Multiple of 13083 and 13102?

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 13083 and 13102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13083 and 13102, than apply into the LCM equation.

GCF(13083,13102) = 1
LCM(13083,13102) = ( 13083 × 13102) / 1
LCM(13083,13102) = 171413466 / 1
LCM(13083,13102) = 171413466

Least Common Multiple (LCM) of 13083 and 13102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13083 and 13102. First we will calculate the prime factors of 13083 and 13102.

Prime Factorization of 13083

Prime Factorization of 13102

Now multiplying the highest exponent prime factors to calculate the LCM of 13083 and 13102.

LCM(13083,13102) = 3¹ × 7² × 89¹ × 2¹ × 6551¹
LCM(13083,13102) = 171413466