What is the Least Common Multiple of 17904 and 17919?

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 17904 and 17919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17904 and 17919, than apply into the LCM equation.

GCF(17904,17919) = 3
LCM(17904,17919) = ( 17904 × 17919) / 3
LCM(17904,17919) = 320821776 / 3
LCM(17904,17919) = 106940592

Least Common Multiple (LCM) of 17904 and 17919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17904 and 17919. First we will calculate the prime factors of 17904 and 17919.

Prime Factorization of 17904

Prime Factorization of 17919

Now multiplying the highest exponent prime factors to calculate the LCM of 17904 and 17919.

LCM(17904,17919) = 2⁴ × 3² × 373¹ × 11¹ × 181¹
LCM(17904,17919) = 106940592