What is the Least Common Multiple of 14775 and 14785?

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 14775 and 14785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14775 and 14785, than apply into the LCM equation.

GCF(14775,14785) = 5
LCM(14775,14785) = ( 14775 × 14785) / 5
LCM(14775,14785) = 218448375 / 5
LCM(14775,14785) = 43689675

Least Common Multiple (LCM) of 14775 and 14785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14775 and 14785. First we will calculate the prime factors of 14775 and 14785.

Prime Factorization of 14775

Prime Factorization of 14785

Now multiplying the highest exponent prime factors to calculate the LCM of 14775 and 14785.

LCM(14775,14785) = 3¹ × 5² × 197¹ × 2957¹
LCM(14775,14785) = 43689675