GCF and LCM Calculator Logo

What is the Least Common Multiple of 16082 and 16087?

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 16082 and 16087 is 258711134.

LCM(16082,16087) = 258711134

LCM Calculator and
and

Least Common Multiple of 16082 and 16087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16082 and 16087, than apply into the LCM equation.

GCF(16082,16087) = 1
LCM(16082,16087) = ( 16082 × 16087) / 1
LCM(16082,16087) = 258711134 / 1
LCM(16082,16087) = 258711134

Least Common Multiple (LCM) of 16082 and 16087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16082 and 16087. First we will calculate the prime factors of 16082 and 16087.

Prime Factorization of 16082

Prime factors of 16082 are 2, 11, 17, 43. Prime factorization of 16082 in exponential form is:

16082 = 21 × 111 × 171 × 431

Prime Factorization of 16087

Prime factors of 16087 are 16087. Prime factorization of 16087 in exponential form is:

16087 = 160871

Now multiplying the highest exponent prime factors to calculate the LCM of 16082 and 16087.

LCM(16082,16087) = 21 × 111 × 171 × 431 × 160871
LCM(16082,16087) = 258711134