What is the Least Common Multiple of 33001 and 33011?

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 33001 and 33011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33001 and 33011, than apply into the LCM equation.

GCF(33001,33011) = 1
LCM(33001,33011) = ( 33001 × 33011) / 1
LCM(33001,33011) = 1089396011 / 1
LCM(33001,33011) = 1089396011

Least Common Multiple (LCM) of 33001 and 33011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33001 and 33011. First we will calculate the prime factors of 33001 and 33011.

Prime Factorization of 33001

Prime Factorization of 33011

Now multiplying the highest exponent prime factors to calculate the LCM of 33001 and 33011.

LCM(33001,33011) = 61¹ × 541¹ × 11¹ × 3001¹
LCM(33001,33011) = 1089396011