What is the Least Common Multiple of 47800 and 47819?

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 47800 and 47819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47800 and 47819, than apply into the LCM equation.

GCF(47800,47819) = 1
LCM(47800,47819) = ( 47800 × 47819) / 1
LCM(47800,47819) = 2285748200 / 1
LCM(47800,47819) = 2285748200

Least Common Multiple (LCM) of 47800 and 47819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47800 and 47819. First we will calculate the prime factors of 47800 and 47819.

Prime Factorization of 47800

Prime Factorization of 47819

Now multiplying the highest exponent prime factors to calculate the LCM of 47800 and 47819.

LCM(47800,47819) = 2³ × 5² × 239¹ × 47819¹
LCM(47800,47819) = 2285748200