GCF and LCM Calculator Logo

What is the Least Common Multiple of 44497 and 44507?

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 44497 and 44507 is 1980427979.

LCM(44497,44507) = 1980427979

LCM Calculator and
and

Least Common Multiple of 44497 and 44507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44497 and 44507, than apply into the LCM equation.

GCF(44497,44507) = 1
LCM(44497,44507) = ( 44497 × 44507) / 1
LCM(44497,44507) = 1980427979 / 1
LCM(44497,44507) = 1980427979

Least Common Multiple (LCM) of 44497 and 44507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44497 and 44507. First we will calculate the prime factors of 44497 and 44507.

Prime Factorization of 44497

Prime factors of 44497 are 44497. Prime factorization of 44497 in exponential form is:

44497 = 444971

Prime Factorization of 44507

Prime factors of 44507 are 44507. Prime factorization of 44507 in exponential form is:

44507 = 445071

Now multiplying the highest exponent prime factors to calculate the LCM of 44497 and 44507.

LCM(44497,44507) = 444971 × 445071
LCM(44497,44507) = 1980427979