What is the Least Common Multiple of 32791 and 32801?

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 32791 and 32801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32791 and 32801, than apply into the LCM equation.

GCF(32791,32801) = 1
LCM(32791,32801) = ( 32791 × 32801) / 1
LCM(32791,32801) = 1075577591 / 1
LCM(32791,32801) = 1075577591

Least Common Multiple (LCM) of 32791 and 32801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32791 and 32801. First we will calculate the prime factors of 32791 and 32801.

Prime Factorization of 32791

Prime Factorization of 32801

Now multiplying the highest exponent prime factors to calculate the LCM of 32791 and 32801.

LCM(32791,32801) = 11² × 271¹ × 32801¹
LCM(32791,32801) = 1075577591