What is the Least Common Multiple of 47804 and 47823?

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 47804 and 47823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47804 and 47823, than apply into the LCM equation.

GCF(47804,47823) = 19
LCM(47804,47823) = ( 47804 × 47823) / 19
LCM(47804,47823) = 2286130692 / 19
LCM(47804,47823) = 120322668

Least Common Multiple (LCM) of 47804 and 47823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47804 and 47823. First we will calculate the prime factors of 47804 and 47823.

Prime Factorization of 47804

Prime Factorization of 47823

Now multiplying the highest exponent prime factors to calculate the LCM of 47804 and 47823.

LCM(47804,47823) = 2² × 17¹ × 19¹ × 37¹ × 3¹ × 839¹
LCM(47804,47823) = 120322668