GCF and LCM Calculator Logo

What is the Least Common Multiple of 44609 and 44621?

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 44609 and 44621 is 1990498189.

LCM(44609,44621) = 1990498189

LCM Calculator and
and

Least Common Multiple of 44609 and 44621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44609 and 44621, than apply into the LCM equation.

GCF(44609,44621) = 1
LCM(44609,44621) = ( 44609 × 44621) / 1
LCM(44609,44621) = 1990498189 / 1
LCM(44609,44621) = 1990498189

Least Common Multiple (LCM) of 44609 and 44621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44609 and 44621. First we will calculate the prime factors of 44609 and 44621.

Prime Factorization of 44609

Prime factors of 44609 are 31, 1439. Prime factorization of 44609 in exponential form is:

44609 = 311 × 14391

Prime Factorization of 44621

Prime factors of 44621 are 44621. Prime factorization of 44621 in exponential form is:

44621 = 446211

Now multiplying the highest exponent prime factors to calculate the LCM of 44609 and 44621.

LCM(44609,44621) = 311 × 14391 × 446211
LCM(44609,44621) = 1990498189