What is the Least Common Multiple of 44748 and 44768?

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 44748 and 44768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44748 and 44768, than apply into the LCM equation.

GCF(44748,44768) = 4
LCM(44748,44768) = ( 44748 × 44768) / 4
LCM(44748,44768) = 2003278464 / 4
LCM(44748,44768) = 500819616

Least Common Multiple (LCM) of 44748 and 44768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44748 and 44768. First we will calculate the prime factors of 44748 and 44768.

Prime Factorization of 44748

Prime Factorization of 44768

Now multiplying the highest exponent prime factors to calculate the LCM of 44748 and 44768.

LCM(44748,44768) = 2⁵ × 3² × 11¹ × 113¹ × 1399¹
LCM(44748,44768) = 500819616