What is the Least Common Multiple of 16524 and 16542?

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 16524 and 16542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16524 and 16542, than apply into the LCM equation.

GCF(16524,16542) = 18
LCM(16524,16542) = ( 16524 × 16542) / 18
LCM(16524,16542) = 273340008 / 18
LCM(16524,16542) = 15185556

Least Common Multiple (LCM) of 16524 and 16542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16524 and 16542. First we will calculate the prime factors of 16524 and 16542.

Prime Factorization of 16524

Prime Factorization of 16542

Now multiplying the highest exponent prime factors to calculate the LCM of 16524 and 16542.

LCM(16524,16542) = 2² × 3⁵ × 17¹ × 919¹
LCM(16524,16542) = 15185556