What is the Least Common Multiple of 33096 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 33096 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 33096 and 33103, than apply into the LCM equation.

GCF(33096,33103) = 7
LCM(33096,33103) = ( 33096 × 33103) / 7
LCM(33096,33103) = 1095576888 / 7
LCM(33096,33103) = 156510984

Least Common Multiple (LCM) of 33096 and 33103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33096 and 33103. First we will calculate the prime factors of 33096 and 33103.

Prime Factorization of 33096

Prime Factorization of 33103

Now multiplying the highest exponent prime factors to calculate the LCM of 33096 and 33103.

LCM(33096,33103) = 2³ × 3¹ × 7¹ × 197¹ × 4729¹
LCM(33096,33103) = 156510984