What is the Least Common Multiple of 16542 and 16554?

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 16542 and 16554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16542 and 16554, than apply into the LCM equation.

GCF(16542,16554) = 6
LCM(16542,16554) = ( 16542 × 16554) / 6
LCM(16542,16554) = 273836268 / 6
LCM(16542,16554) = 45639378

Least Common Multiple (LCM) of 16542 and 16554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16542 and 16554. First we will calculate the prime factors of 16542 and 16554.

Prime Factorization of 16542

Prime Factorization of 16554

Now multiplying the highest exponent prime factors to calculate the LCM of 16542 and 16554.

LCM(16542,16554) = 2¹ × 3² × 919¹ × 31¹ × 89¹
LCM(16542,16554) = 45639378