What is the Least Common Multiple of 33175 and 33182?

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 33175 and 33182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33175 and 33182, than apply into the LCM equation.

GCF(33175,33182) = 1
LCM(33175,33182) = ( 33175 × 33182) / 1
LCM(33175,33182) = 1100812850 / 1
LCM(33175,33182) = 1100812850

Least Common Multiple (LCM) of 33175 and 33182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33175 and 33182. First we will calculate the prime factors of 33175 and 33182.

Prime Factorization of 33175

Prime Factorization of 33182

Now multiplying the highest exponent prime factors to calculate the LCM of 33175 and 33182.

LCM(33175,33182) = 5² × 1327¹ × 2¹ × 47¹ × 353¹
LCM(33175,33182) = 1100812850