GCF and LCM Calculator Logo

What is the Least Common Multiple of 44790 and 44794?

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 44790 and 44794 is 1003161630.

LCM(44790,44794) = 1003161630

LCM Calculator and
and

Least Common Multiple of 44790 and 44794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44790 and 44794, than apply into the LCM equation.

GCF(44790,44794) = 2
LCM(44790,44794) = ( 44790 × 44794) / 2
LCM(44790,44794) = 2006323260 / 2
LCM(44790,44794) = 1003161630

Least Common Multiple (LCM) of 44790 and 44794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44790 and 44794. First we will calculate the prime factors of 44790 and 44794.

Prime Factorization of 44790

Prime factors of 44790 are 2, 3, 5, 1493. Prime factorization of 44790 in exponential form is:

44790 = 21 × 31 × 51 × 14931

Prime Factorization of 44794

Prime factors of 44794 are 2, 22397. Prime factorization of 44794 in exponential form is:

44794 = 21 × 223971

Now multiplying the highest exponent prime factors to calculate the LCM of 44790 and 44794.

LCM(44790,44794) = 21 × 31 × 51 × 14931 × 223971
LCM(44790,44794) = 1003161630