What is the Least Common Multiple of 44991 and 45007?

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 44991 and 45007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44991 and 45007, than apply into the LCM equation.

GCF(44991,45007) = 1
LCM(44991,45007) = ( 44991 × 45007) / 1
LCM(44991,45007) = 2024909937 / 1
LCM(44991,45007) = 2024909937

Least Common Multiple (LCM) of 44991 and 45007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44991 and 45007. First we will calculate the prime factors of 44991 and 45007.

Prime Factorization of 44991

Prime Factorization of 45007

Now multiplying the highest exponent prime factors to calculate the LCM of 44991 and 45007.

LCM(44991,45007) = 3² × 4999¹ × 45007¹
LCM(44991,45007) = 2024909937