What is the Least Common Multiple of 16575 and 16585?

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 16575 and 16585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16575 and 16585, than apply into the LCM equation.

GCF(16575,16585) = 5
LCM(16575,16585) = ( 16575 × 16585) / 5
LCM(16575,16585) = 274896375 / 5
LCM(16575,16585) = 54979275

Least Common Multiple (LCM) of 16575 and 16585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16575 and 16585. First we will calculate the prime factors of 16575 and 16585.

Prime Factorization of 16575

Prime Factorization of 16585

Now multiplying the highest exponent prime factors to calculate the LCM of 16575 and 16585.

LCM(16575,16585) = 3¹ × 5² × 13¹ × 17¹ × 31¹ × 107¹
LCM(16575,16585) = 54979275