GCF and LCM Calculator Logo

What is the Least Common Multiple of 38005 and 38016?

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 38005 and 38016 is 131345280.

LCM(38005,38016) = 131345280

LCM Calculator and
and

Least Common Multiple of 38005 and 38016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38005 and 38016, than apply into the LCM equation.

GCF(38005,38016) = 11
LCM(38005,38016) = ( 38005 × 38016) / 11
LCM(38005,38016) = 1444798080 / 11
LCM(38005,38016) = 131345280

Least Common Multiple (LCM) of 38005 and 38016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38005 and 38016. First we will calculate the prime factors of 38005 and 38016.

Prime Factorization of 38005

Prime factors of 38005 are 5, 11, 691. Prime factorization of 38005 in exponential form is:

38005 = 51 × 111 × 6911

Prime Factorization of 38016

Prime factors of 38016 are 2, 3, 11. Prime factorization of 38016 in exponential form is:

38016 = 27 × 33 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 38005 and 38016.

LCM(38005,38016) = 51 × 111 × 6911 × 27 × 33
LCM(38005,38016) = 131345280