What is the Least Common Multiple of 45034 and 45039?

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 45034 and 45039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45034 and 45039, than apply into the LCM equation.

GCF(45034,45039) = 1
LCM(45034,45039) = ( 45034 × 45039) / 1
LCM(45034,45039) = 2028286326 / 1
LCM(45034,45039) = 2028286326

Least Common Multiple (LCM) of 45034 and 45039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45034 and 45039. First we will calculate the prime factors of 45034 and 45039.

Prime Factorization of 45034

Prime Factorization of 45039

Now multiplying the highest exponent prime factors to calculate the LCM of 45034 and 45039.

LCM(45034,45039) = 2¹ × 11¹ × 23¹ × 89¹ × 3¹ × 15013¹
LCM(45034,45039) = 2028286326