What is the Least Common Multiple of 44543 and 44548?

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 44543 and 44548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44543 and 44548, than apply into the LCM equation.

GCF(44543,44548) = 1
LCM(44543,44548) = ( 44543 × 44548) / 1
LCM(44543,44548) = 1984301564 / 1
LCM(44543,44548) = 1984301564

Least Common Multiple (LCM) of 44543 and 44548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44543 and 44548. First we will calculate the prime factors of 44543 and 44548.

Prime Factorization of 44543

Prime Factorization of 44548

Now multiplying the highest exponent prime factors to calculate the LCM of 44543 and 44548.

LCM(44543,44548) = 44543¹ × 2² × 7¹ × 37¹ × 43¹
LCM(44543,44548) = 1984301564