What is the Least Common Multiple of 33036 and 33041?

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 33036 and 33041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33036 and 33041, than apply into the LCM equation.

GCF(33036,33041) = 1
LCM(33036,33041) = ( 33036 × 33041) / 1
LCM(33036,33041) = 1091542476 / 1
LCM(33036,33041) = 1091542476

Least Common Multiple (LCM) of 33036 and 33041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33036 and 33041. First we will calculate the prime factors of 33036 and 33041.

Prime Factorization of 33036

Prime Factorization of 33041

Now multiplying the highest exponent prime factors to calculate the LCM of 33036 and 33041.

LCM(33036,33041) = 2² × 3¹ × 2753¹ × 19¹ × 37¹ × 47¹
LCM(33036,33041) = 1091542476