What is the Least Common Multiple of 14763 and 14775?

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 14763 and 14775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14763 and 14775, than apply into the LCM equation.

GCF(14763,14775) = 3
LCM(14763,14775) = ( 14763 × 14775) / 3
LCM(14763,14775) = 218123325 / 3
LCM(14763,14775) = 72707775

Least Common Multiple (LCM) of 14763 and 14775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14763 and 14775. First we will calculate the prime factors of 14763 and 14775.

Prime Factorization of 14763

Prime Factorization of 14775

Now multiplying the highest exponent prime factors to calculate the LCM of 14763 and 14775.

LCM(14763,14775) = 3¹ × 7¹ × 19¹ × 37¹ × 5² × 197¹
LCM(14763,14775) = 72707775