What is the Least Common Multiple of 44484 and 44499?

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 44484 and 44499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44484 and 44499, than apply into the LCM equation.

GCF(44484,44499) = 3
LCM(44484,44499) = ( 44484 × 44499) / 3
LCM(44484,44499) = 1979493516 / 3
LCM(44484,44499) = 659831172

Least Common Multiple (LCM) of 44484 and 44499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44484 and 44499. First we will calculate the prime factors of 44484 and 44499.

Prime Factorization of 44484

Prime Factorization of 44499

Now multiplying the highest exponent prime factors to calculate the LCM of 44484 and 44499.

LCM(44484,44499) = 2² × 3¹ × 11¹ × 337¹ × 7¹ × 13¹ × 163¹
LCM(44484,44499) = 659831172