What is the Least Common Multiple of 8103 and 8109?

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 8103 and 8109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8103 and 8109, than apply into the LCM equation.

GCF(8103,8109) = 3
LCM(8103,8109) = ( 8103 × 8109) / 3
LCM(8103,8109) = 65707227 / 3
LCM(8103,8109) = 21902409

Least Common Multiple (LCM) of 8103 and 8109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8103 and 8109. First we will calculate the prime factors of 8103 and 8109.

Prime Factorization of 8103

Prime Factorization of 8109

Now multiplying the highest exponent prime factors to calculate the LCM of 8103 and 8109.

LCM(8103,8109) = 3² × 37¹ × 73¹ × 17¹ × 53¹
LCM(8103,8109) = 21902409