What is the Least Common Multiple of 47884 and 47896?

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 47884 and 47896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47884 and 47896, than apply into the LCM equation.

GCF(47884,47896) = 4
LCM(47884,47896) = ( 47884 × 47896) / 4
LCM(47884,47896) = 2293452064 / 4
LCM(47884,47896) = 573363016

Least Common Multiple (LCM) of 47884 and 47896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47884 and 47896. First we will calculate the prime factors of 47884 and 47896.

Prime Factorization of 47884

Prime Factorization of 47896

Now multiplying the highest exponent prime factors to calculate the LCM of 47884 and 47896.

LCM(47884,47896) = 2³ × 11971¹ × 5987¹
LCM(47884,47896) = 573363016