What is the Least Common Multiple of 2909 and 2928?

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 2909 and 2928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2909 and 2928, than apply into the LCM equation.

GCF(2909,2928) = 1
LCM(2909,2928) = ( 2909 × 2928) / 1
LCM(2909,2928) = 8517552 / 1
LCM(2909,2928) = 8517552

Least Common Multiple (LCM) of 2909 and 2928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2909 and 2928. First we will calculate the prime factors of 2909 and 2928.

Prime Factorization of 2909

Prime Factorization of 2928

Now multiplying the highest exponent prime factors to calculate the LCM of 2909 and 2928.

LCM(2909,2928) = 2909¹ × 2⁴ × 3¹ × 61¹
LCM(2909,2928) = 8517552