What is the Least Common Multiple of 3109 and 3123?

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 3109 and 3123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3109 and 3123, than apply into the LCM equation.

GCF(3109,3123) = 1
LCM(3109,3123) = ( 3109 × 3123) / 1
LCM(3109,3123) = 9709407 / 1
LCM(3109,3123) = 9709407

Least Common Multiple (LCM) of 3109 and 3123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3109 and 3123. First we will calculate the prime factors of 3109 and 3123.

Prime Factorization of 3109

Prime Factorization of 3123

Now multiplying the highest exponent prime factors to calculate the LCM of 3109 and 3123.

LCM(3109,3123) = 3109¹ × 3² × 347¹
LCM(3109,3123) = 9709407