What is the Least Common Multiple of 6084 and 6103?

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 6084 and 6103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6084 and 6103, than apply into the LCM equation.

GCF(6084,6103) = 1
LCM(6084,6103) = ( 6084 × 6103) / 1
LCM(6084,6103) = 37130652 / 1
LCM(6084,6103) = 37130652

Least Common Multiple (LCM) of 6084 and 6103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6084 and 6103. First we will calculate the prime factors of 6084 and 6103.

Prime Factorization of 6084

Prime Factorization of 6103

Now multiplying the highest exponent prime factors to calculate the LCM of 6084 and 6103.

LCM(6084,6103) = 2² × 3² × 13² × 17¹ × 359¹
LCM(6084,6103) = 37130652