GCF and LCM Calculator Logo

What is the Least Common Multiple of 27981 and 27989?

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 27981 and 27989 is 783160209.

LCM(27981,27989) = 783160209

LCM Calculator and
and

Least Common Multiple of 27981 and 27989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27981 and 27989, than apply into the LCM equation.

GCF(27981,27989) = 1
LCM(27981,27989) = ( 27981 × 27989) / 1
LCM(27981,27989) = 783160209 / 1
LCM(27981,27989) = 783160209

Least Common Multiple (LCM) of 27981 and 27989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27981 and 27989. First we will calculate the prime factors of 27981 and 27989.

Prime Factorization of 27981

Prime factors of 27981 are 3, 3109. Prime factorization of 27981 in exponential form is:

27981 = 32 × 31091

Prime Factorization of 27989

Prime factors of 27989 are 13, 2153. Prime factorization of 27989 in exponential form is:

27989 = 131 × 21531

Now multiplying the highest exponent prime factors to calculate the LCM of 27981 and 27989.

LCM(27981,27989) = 32 × 31091 × 131 × 21531
LCM(27981,27989) = 783160209