What is the Least Common Multiple of 32704 and 32714?

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 32714 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 32714, than apply into the LCM equation.

GCF(32704,32714) = 2
LCM(32704,32714) = ( 32704 × 32714) / 2
LCM(32704,32714) = 1069878656 / 2
LCM(32704,32714) = 534939328

Least Common Multiple (LCM) of 32704 and 32714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32704 and 32714. First we will calculate the prime factors of 32704 and 32714.

Prime Factorization of 32704

Prime Factorization of 32714

Now multiplying the highest exponent prime factors to calculate the LCM of 32704 and 32714.

LCM(32704,32714) = 2⁶ × 7¹ × 73¹ × 11¹ × 1487¹
LCM(32704,32714) = 534939328