What is the Least Common Multiple of 44999 and 45017?

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 44999 and 45017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44999 and 45017, than apply into the LCM equation.

GCF(44999,45017) = 1
LCM(44999,45017) = ( 44999 × 45017) / 1
LCM(44999,45017) = 2025719983 / 1
LCM(44999,45017) = 2025719983

Least Common Multiple (LCM) of 44999 and 45017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44999 and 45017. First we will calculate the prime factors of 44999 and 45017.

Prime Factorization of 44999

Prime Factorization of 45017

Now multiplying the highest exponent prime factors to calculate the LCM of 44999 and 45017.

LCM(44999,45017) = 17¹ × 2647¹ × 7¹ × 59¹ × 109¹
LCM(44999,45017) = 2025719983