What is the Least Common Multiple of 44503 and 44509?

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 44503 and 44509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44503 and 44509, than apply into the LCM equation.

GCF(44503,44509) = 1
LCM(44503,44509) = ( 44503 × 44509) / 1
LCM(44503,44509) = 1980784027 / 1
LCM(44503,44509) = 1980784027

Least Common Multiple (LCM) of 44503 and 44509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44503 and 44509. First we will calculate the prime factors of 44503 and 44509.

Prime Factorization of 44503

Prime Factorization of 44509

Now multiplying the highest exponent prime factors to calculate the LCM of 44503 and 44509.

LCM(44503,44509) = 191¹ × 233¹ × 47¹ × 947¹
LCM(44503,44509) = 1980784027