What is the Least Common Multiple of 17508 and 17518?

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 17508 and 17518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17508 and 17518, than apply into the LCM equation.

GCF(17508,17518) = 2
LCM(17508,17518) = ( 17508 × 17518) / 2
LCM(17508,17518) = 306705144 / 2
LCM(17508,17518) = 153352572

Least Common Multiple (LCM) of 17508 and 17518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17508 and 17518. First we will calculate the prime factors of 17508 and 17518.

Prime Factorization of 17508

Prime Factorization of 17518

Now multiplying the highest exponent prime factors to calculate the LCM of 17508 and 17518.

LCM(17508,17518) = 2² × 3¹ × 1459¹ × 19¹ × 461¹
LCM(17508,17518) = 153352572