What is the Least Common Multiple of 17490 and 17496?

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 17490 and 17496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17490 and 17496, than apply into the LCM equation.

GCF(17490,17496) = 6
LCM(17490,17496) = ( 17490 × 17496) / 6
LCM(17490,17496) = 306005040 / 6
LCM(17490,17496) = 51000840

Least Common Multiple (LCM) of 17490 and 17496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17490 and 17496. First we will calculate the prime factors of 17490 and 17496.

Prime Factorization of 17490

Prime Factorization of 17496

Now multiplying the highest exponent prime factors to calculate the LCM of 17490 and 17496.

LCM(17490,17496) = 2³ × 3⁷ × 5¹ × 11¹ × 53¹
LCM(17490,17496) = 51000840