GCF and LCM Calculator Logo

What is the Least Common Multiple of 28072 and 28082?

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 28072 and 28082 is 394158952.

LCM(28072,28082) = 394158952

LCM Calculator and
and

Least Common Multiple of 28072 and 28082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28072 and 28082, than apply into the LCM equation.

GCF(28072,28082) = 2
LCM(28072,28082) = ( 28072 × 28082) / 2
LCM(28072,28082) = 788317904 / 2
LCM(28072,28082) = 394158952

Least Common Multiple (LCM) of 28072 and 28082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28072 and 28082. First we will calculate the prime factors of 28072 and 28082.

Prime Factorization of 28072

Prime factors of 28072 are 2, 11, 29. Prime factorization of 28072 in exponential form is:

28072 = 23 × 112 × 291

Prime Factorization of 28082

Prime factors of 28082 are 2, 19, 739. Prime factorization of 28082 in exponential form is:

28082 = 21 × 191 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 28072 and 28082.

LCM(28072,28082) = 23 × 112 × 291 × 191 × 7391
LCM(28072,28082) = 394158952