What is the Least Common Multiple of 33484 and 33490?

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 33490 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 33490, than apply into the LCM equation.

GCF(33484,33490) = 2
LCM(33484,33490) = ( 33484 × 33490) / 2
LCM(33484,33490) = 1121379160 / 2
LCM(33484,33490) = 560689580

Least Common Multiple (LCM) of 33484 and 33490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33484 and 33490. First we will calculate the prime factors of 33484 and 33490.

Prime Factorization of 33484

Prime Factorization of 33490

Now multiplying the highest exponent prime factors to calculate the LCM of 33484 and 33490.

LCM(33484,33490) = 2² × 11¹ × 761¹ × 5¹ × 17¹ × 197¹
LCM(33484,33490) = 560689580