What is the Least Common Multiple of 32993 and 33001?

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 32993 and 33001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32993 and 33001, than apply into the LCM equation.

GCF(32993,33001) = 1
LCM(32993,33001) = ( 32993 × 33001) / 1
LCM(32993,33001) = 1088801993 / 1
LCM(32993,33001) = 1088801993

Least Common Multiple (LCM) of 32993 and 33001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32993 and 33001. First we will calculate the prime factors of 32993 and 33001.

Prime Factorization of 32993

Prime Factorization of 33001

Now multiplying the highest exponent prime factors to calculate the LCM of 32993 and 33001.

LCM(32993,33001) = 32993¹ × 61¹ × 541¹
LCM(32993,33001) = 1088801993