What is the Least Common Multiple of 32704 and 32721?

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 32704 and 32721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32704 and 32721, than apply into the LCM equation.

GCF(32704,32721) = 1
LCM(32704,32721) = ( 32704 × 32721) / 1
LCM(32704,32721) = 1070107584 / 1
LCM(32704,32721) = 1070107584

Least Common Multiple (LCM) of 32704 and 32721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32704 and 32721. First we will calculate the prime factors of 32704 and 32721.

Prime Factorization of 32704

Prime Factorization of 32721

Now multiplying the highest exponent prime factors to calculate the LCM of 32704 and 32721.

LCM(32704,32721) = 2⁶ × 7¹ × 73¹ × 3¹ × 13¹ × 839¹
LCM(32704,32721) = 1070107584