What is the Least Common Multiple of 44814 and 44828?

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 44814 and 44828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44814 and 44828, than apply into the LCM equation.

GCF(44814,44828) = 14
LCM(44814,44828) = ( 44814 × 44828) / 14
LCM(44814,44828) = 2008921992 / 14
LCM(44814,44828) = 143494428

Least Common Multiple (LCM) of 44814 and 44828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44814 and 44828. First we will calculate the prime factors of 44814 and 44828.

Prime Factorization of 44814

Prime Factorization of 44828

Now multiplying the highest exponent prime factors to calculate the LCM of 44814 and 44828.

LCM(44814,44828) = 2² × 3¹ × 7¹ × 11¹ × 97¹ × 1601¹
LCM(44814,44828) = 143494428