What is the Least Common Multiple of 33089 and 33103?

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 33089 and 33103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33089 and 33103, than apply into the LCM equation.

GCF(33089,33103) = 7
LCM(33089,33103) = ( 33089 × 33103) / 7
LCM(33089,33103) = 1095345167 / 7
LCM(33089,33103) = 156477881

Least Common Multiple (LCM) of 33089 and 33103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33089 and 33103. First we will calculate the prime factors of 33089 and 33103.

Prime Factorization of 33089

Prime Factorization of 33103

Now multiplying the highest exponent prime factors to calculate the LCM of 33089 and 33103.

LCM(33089,33103) = 7¹ × 29¹ × 163¹ × 4729¹
LCM(33089,33103) = 156477881