What is the Least Common Multiple of 44301 and 44317?

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 of 44301 and 44317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44301 and 44317, than apply into the LCM equation.

GCF(44301,44317) = 1
LCM(44301,44317) = ( 44301 × 44317) / 1
LCM(44301,44317) = 1963287417 / 1
LCM(44301,44317) = 1963287417

Least Common Multiple (LCM) of 44301 and 44317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44301 and 44317. First we will calculate the prime factors of 44301 and 44317.

Prime Factorization of 44301

Prime Factorization of 44317

Now multiplying the highest exponent prime factors to calculate the LCM of 44301 and 44317.

LCM(44301,44317) = 3¹ × 14767¹ × 7¹ × 13¹ × 487¹
LCM(44301,44317) = 1963287417