What is the Least Common Multiple of 47819 and 47827?

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 47819 and 47827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47819 and 47827, than apply into the LCM equation.

GCF(47819,47827) = 1
LCM(47819,47827) = ( 47819 × 47827) / 1
LCM(47819,47827) = 2287039313 / 1
LCM(47819,47827) = 2287039313

Least Common Multiple (LCM) of 47819 and 47827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47819 and 47827. First we will calculate the prime factors of 47819 and 47827.

Prime Factorization of 47819

Prime Factorization of 47827

Now multiplying the highest exponent prime factors to calculate the LCM of 47819 and 47827.

LCM(47819,47827) = 47819¹ × 13² × 283¹
LCM(47819,47827) = 2287039313