What is the Least Common Multiple of 45815 and 45819?

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 45815 and 45819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45815 and 45819, than apply into the LCM equation.

GCF(45815,45819) = 1
LCM(45815,45819) = ( 45815 × 45819) / 1
LCM(45815,45819) = 2099197485 / 1
LCM(45815,45819) = 2099197485

Least Common Multiple (LCM) of 45815 and 45819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45815 and 45819. First we will calculate the prime factors of 45815 and 45819.

Prime Factorization of 45815

Prime Factorization of 45819

Now multiplying the highest exponent prime factors to calculate the LCM of 45815 and 45819.

LCM(45815,45819) = 5¹ × 7² × 11¹ × 17¹ × 3³ × 1697¹
LCM(45815,45819) = 2099197485