What is the Least Common Multiple of 16530 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 16530 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 16530 and 16542, than apply into the LCM equation.

GCF(16530,16542) = 6
LCM(16530,16542) = ( 16530 × 16542) / 6
LCM(16530,16542) = 273439260 / 6
LCM(16530,16542) = 45573210

Least Common Multiple (LCM) of 16530 and 16542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16530 and 16542. First we will calculate the prime factors of 16530 and 16542.

Prime Factorization of 16530

Prime Factorization of 16542

Now multiplying the highest exponent prime factors to calculate the LCM of 16530 and 16542.

LCM(16530,16542) = 2¹ × 3² × 5¹ × 19¹ × 29¹ × 919¹
LCM(16530,16542) = 45573210