GCF and LCM Calculator Logo

What is the Least Common Multiple of 27831 and 27844?

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 27831 and 27844 is 774926364.

LCM(27831,27844) = 774926364

LCM Calculator and
and

Least Common Multiple of 27831 and 27844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27831 and 27844, than apply into the LCM equation.

GCF(27831,27844) = 1
LCM(27831,27844) = ( 27831 × 27844) / 1
LCM(27831,27844) = 774926364 / 1
LCM(27831,27844) = 774926364

Least Common Multiple (LCM) of 27831 and 27844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27831 and 27844. First we will calculate the prime factors of 27831 and 27844.

Prime Factorization of 27831

Prime factors of 27831 are 3, 9277. Prime factorization of 27831 in exponential form is:

27831 = 31 × 92771

Prime Factorization of 27844

Prime factors of 27844 are 2, 6961. Prime factorization of 27844 in exponential form is:

27844 = 22 × 69611

Now multiplying the highest exponent prime factors to calculate the LCM of 27831 and 27844.

LCM(27831,27844) = 31 × 92771 × 22 × 69611
LCM(27831,27844) = 774926364