What is the Least Common Multiple of 3084 and 3103?

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 3084 and 3103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3084 and 3103, than apply into the LCM equation.

GCF(3084,3103) = 1
LCM(3084,3103) = ( 3084 × 3103) / 1
LCM(3084,3103) = 9569652 / 1
LCM(3084,3103) = 9569652

Least Common Multiple (LCM) of 3084 and 3103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3084 and 3103. First we will calculate the prime factors of 3084 and 3103.

Prime Factorization of 3084

Prime Factorization of 3103

Now multiplying the highest exponent prime factors to calculate the LCM of 3084 and 3103.

LCM(3084,3103) = 2² × 3¹ × 257¹ × 29¹ × 107¹
LCM(3084,3103) = 9569652