What is the Least Common Multiple of 32752 and 32771?

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 32752 and 32771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32752 and 32771, than apply into the LCM equation.

GCF(32752,32771) = 1
LCM(32752,32771) = ( 32752 × 32771) / 1
LCM(32752,32771) = 1073315792 / 1
LCM(32752,32771) = 1073315792

Least Common Multiple (LCM) of 32752 and 32771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32752 and 32771. First we will calculate the prime factors of 32752 and 32771.

Prime Factorization of 32752

Prime Factorization of 32771

Now multiplying the highest exponent prime factors to calculate the LCM of 32752 and 32771.

LCM(32752,32771) = 2⁴ × 23¹ × 89¹ × 32771¹
LCM(32752,32771) = 1073315792