What is the Least Common Multiple of 53904 and 53919?

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 53904 and 53919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53904 and 53919, than apply into the LCM equation.

GCF(53904,53919) = 3
LCM(53904,53919) = ( 53904 × 53919) / 3
LCM(53904,53919) = 2906449776 / 3
LCM(53904,53919) = 968816592

Least Common Multiple (LCM) of 53904 and 53919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53904 and 53919. First we will calculate the prime factors of 53904 and 53919.

Prime Factorization of 53904

Prime Factorization of 53919

Now multiplying the highest exponent prime factors to calculate the LCM of 53904 and 53919.

LCM(53904,53919) = 2⁴ × 3³ × 1123¹ × 1997¹
LCM(53904,53919) = 968816592