What is the Least Common Multiple of 47819 and 47830?

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 47830 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 47830, than apply into the LCM equation.

GCF(47819,47830) = 1
LCM(47819,47830) = ( 47819 × 47830) / 1
LCM(47819,47830) = 2287182770 / 1
LCM(47819,47830) = 2287182770

Least Common Multiple (LCM) of 47819 and 47830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47819 and 47830. First we will calculate the prime factors of 47819 and 47830.

Prime Factorization of 47819

Prime Factorization of 47830

Now multiplying the highest exponent prime factors to calculate the LCM of 47819 and 47830.

LCM(47819,47830) = 47819¹ × 2¹ × 5¹ × 4783¹
LCM(47819,47830) = 2287182770