GCF and LCM Calculator Logo

What is the Least Common Multiple of 6072 and 6086?

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 6072 and 6086 is 18477096.

LCM(6072,6086) = 18477096

LCM Calculator and
and

Least Common Multiple of 6072 and 6086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6072 and 6086, than apply into the LCM equation.

GCF(6072,6086) = 2
LCM(6072,6086) = ( 6072 × 6086) / 2
LCM(6072,6086) = 36954192 / 2
LCM(6072,6086) = 18477096

Least Common Multiple (LCM) of 6072 and 6086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6072 and 6086. First we will calculate the prime factors of 6072 and 6086.

Prime Factorization of 6072

Prime factors of 6072 are 2, 3, 11, 23. Prime factorization of 6072 in exponential form is:

6072 = 23 × 31 × 111 × 231

Prime Factorization of 6086

Prime factors of 6086 are 2, 17, 179. Prime factorization of 6086 in exponential form is:

6086 = 21 × 171 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 6072 and 6086.

LCM(6072,6086) = 23 × 31 × 111 × 231 × 171 × 1791
LCM(6072,6086) = 18477096