What is the Least Common Multiple of 33484 and 33491?

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 33484 and 33491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33484 and 33491, than apply into the LCM equation.

GCF(33484,33491) = 1
LCM(33484,33491) = ( 33484 × 33491) / 1
LCM(33484,33491) = 1121412644 / 1
LCM(33484,33491) = 1121412644

Least Common Multiple (LCM) of 33484 and 33491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33484 and 33491. First we will calculate the prime factors of 33484 and 33491.

Prime Factorization of 33484

Prime Factorization of 33491

Now multiplying the highest exponent prime factors to calculate the LCM of 33484 and 33491.

LCM(33484,33491) = 2² × 11¹ × 761¹ × 107¹ × 313¹
LCM(33484,33491) = 1121412644