What is the Least Common Multiple of 32752 and 32756?

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 32756 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 32756, than apply into the LCM equation.

GCF(32752,32756) = 4
LCM(32752,32756) = ( 32752 × 32756) / 4
LCM(32752,32756) = 1072824512 / 4
LCM(32752,32756) = 268206128

Least Common Multiple (LCM) of 32752 and 32756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32752 and 32756. First we will calculate the prime factors of 32752 and 32756.

Prime Factorization of 32752

Prime Factorization of 32756

Now multiplying the highest exponent prime factors to calculate the LCM of 32752 and 32756.

LCM(32752,32756) = 2⁴ × 23¹ × 89¹ × 19¹ × 431¹
LCM(32752,32756) = 268206128