What is the Least Common Multiple of 44742 and 44759?

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 44742 and 44759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44742 and 44759, than apply into the LCM equation.

GCF(44742,44759) = 1
LCM(44742,44759) = ( 44742 × 44759) / 1
LCM(44742,44759) = 2002607178 / 1
LCM(44742,44759) = 2002607178

Least Common Multiple (LCM) of 44742 and 44759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44742 and 44759. First we will calculate the prime factors of 44742 and 44759.

Prime Factorization of 44742

Prime Factorization of 44759

Now multiplying the highest exponent prime factors to calculate the LCM of 44742 and 44759.

LCM(44742,44759) = 2¹ × 3¹ × 7457¹ × 11¹ × 13¹ × 313¹
LCM(44742,44759) = 2002607178