GCF and LCM Calculator Logo

What is the Least Common Multiple of 16013 and 16028?

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 16013 and 16028 is 256656364.

LCM(16013,16028) = 256656364

LCM Calculator and
and

Least Common Multiple of 16013 and 16028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16013 and 16028, than apply into the LCM equation.

GCF(16013,16028) = 1
LCM(16013,16028) = ( 16013 × 16028) / 1
LCM(16013,16028) = 256656364 / 1
LCM(16013,16028) = 256656364

Least Common Multiple (LCM) of 16013 and 16028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16013 and 16028. First we will calculate the prime factors of 16013 and 16028.

Prime Factorization of 16013

Prime factors of 16013 are 67, 239. Prime factorization of 16013 in exponential form is:

16013 = 671 × 2391

Prime Factorization of 16028

Prime factors of 16028 are 2, 4007. Prime factorization of 16028 in exponential form is:

16028 = 22 × 40071

Now multiplying the highest exponent prime factors to calculate the LCM of 16013 and 16028.

LCM(16013,16028) = 671 × 2391 × 22 × 40071
LCM(16013,16028) = 256656364