What is the Least Common Multiple of 17508 and 17528?

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 17528 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 17528, than apply into the LCM equation.

GCF(17508,17528) = 4
LCM(17508,17528) = ( 17508 × 17528) / 4
LCM(17508,17528) = 306880224 / 4
LCM(17508,17528) = 76720056

Least Common Multiple (LCM) of 17508 and 17528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17508 and 17528. First we will calculate the prime factors of 17508 and 17528.

Prime Factorization of 17508

Prime Factorization of 17528

Now multiplying the highest exponent prime factors to calculate the LCM of 17508 and 17528.

LCM(17508,17528) = 2³ × 3¹ × 1459¹ × 7¹ × 313¹
LCM(17508,17528) = 76720056