What is the Least Common Multiple of 68904 and 68919?

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 68904 and 68919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68904 and 68919, than apply into the LCM equation.

GCF(68904,68919) = 3
LCM(68904,68919) = ( 68904 × 68919) / 3
LCM(68904,68919) = 4748794776 / 3
LCM(68904,68919) = 1582931592

Least Common Multiple (LCM) of 68904 and 68919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68904 and 68919. First we will calculate the prime factors of 68904 and 68919.

Prime Factorization of 68904

Prime Factorization of 68919

Now multiplying the highest exponent prime factors to calculate the LCM of 68904 and 68919.

LCM(68904,68919) = 2³ × 3³ × 11¹ × 29¹ × 22973¹
LCM(68904,68919) = 1582931592