GCF and LCM Calculator Logo

What is the Least Common Multiple of 16604 and 16621?

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 (LCM) of 16604 and 16621 is 275975084.

LCM(16604,16621) = 275975084

LCM Calculator and
and

Least Common Multiple of 16604 and 16621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16604 and 16621, than apply into the LCM equation.

GCF(16604,16621) = 1
LCM(16604,16621) = ( 16604 × 16621) / 1
LCM(16604,16621) = 275975084 / 1
LCM(16604,16621) = 275975084

Least Common Multiple (LCM) of 16604 and 16621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16604 and 16621. First we will calculate the prime factors of 16604 and 16621.

Prime Factorization of 16604

Prime factors of 16604 are 2, 7, 593. Prime factorization of 16604 in exponential form is:

16604 = 22 × 71 × 5931

Prime Factorization of 16621

Prime factors of 16621 are 11, 1511. Prime factorization of 16621 in exponential form is:

16621 = 111 × 15111

Now multiplying the highest exponent prime factors to calculate the LCM of 16604 and 16621.

LCM(16604,16621) = 22 × 71 × 5931 × 111 × 15111
LCM(16604,16621) = 275975084