What is the Least Common Multiple of 33591 and 33597?

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 33591 and 33597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33591 and 33597, than apply into the LCM equation.

GCF(33591,33597) = 3
LCM(33591,33597) = ( 33591 × 33597) / 3
LCM(33591,33597) = 1128556827 / 3
LCM(33591,33597) = 376185609

Least Common Multiple (LCM) of 33591 and 33597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33591 and 33597. First we will calculate the prime factors of 33591 and 33597.

Prime Factorization of 33591

Prime Factorization of 33597

Now multiplying the highest exponent prime factors to calculate the LCM of 33591 and 33597.

LCM(33591,33597) = 3² × 11197¹ × 3733¹
LCM(33591,33597) = 376185609