What is the Least Common Multiple of 33609 and 33617?

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 33609 and 33617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33609 and 33617, than apply into the LCM equation.

GCF(33609,33617) = 1
LCM(33609,33617) = ( 33609 × 33617) / 1
LCM(33609,33617) = 1129833753 / 1
LCM(33609,33617) = 1129833753

Least Common Multiple (LCM) of 33609 and 33617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33609 and 33617. First we will calculate the prime factors of 33609 and 33617.

Prime Factorization of 33609

Prime Factorization of 33617

Now multiplying the highest exponent prime factors to calculate the LCM of 33609 and 33617.

LCM(33609,33617) = 3¹ × 17¹ × 659¹ × 33617¹
LCM(33609,33617) = 1129833753