What is the Least Common Multiple of 45805 and 45815?

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 45805 and 45815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45805 and 45815, than apply into the LCM equation.

GCF(45805,45815) = 5
LCM(45805,45815) = ( 45805 × 45815) / 5
LCM(45805,45815) = 2098556075 / 5
LCM(45805,45815) = 419711215

Least Common Multiple (LCM) of 45805 and 45815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45805 and 45815. First we will calculate the prime factors of 45805 and 45815.

Prime Factorization of 45805

Prime Factorization of 45815

Now multiplying the highest exponent prime factors to calculate the LCM of 45805 and 45815.

LCM(45805,45815) = 5¹ × 9161¹ × 7² × 11¹ × 17¹
LCM(45805,45815) = 419711215