What is the Least Common Multiple of 32028 and 32047?

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 32028 and 32047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32028 and 32047, than apply into the LCM equation.

GCF(32028,32047) = 1
LCM(32028,32047) = ( 32028 × 32047) / 1
LCM(32028,32047) = 1026401316 / 1
LCM(32028,32047) = 1026401316

Least Common Multiple (LCM) of 32028 and 32047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32028 and 32047. First we will calculate the prime factors of 32028 and 32047.

Prime Factorization of 32028

Prime Factorization of 32047

Now multiplying the highest exponent prime factors to calculate the LCM of 32028 and 32047.

LCM(32028,32047) = 2² × 3¹ × 17¹ × 157¹ × 73¹ × 439¹
LCM(32028,32047) = 1026401316