What is the Least Common Multiple of 45904 and 45909?

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 45904 and 45909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45904 and 45909, than apply into the LCM equation.

GCF(45904,45909) = 1
LCM(45904,45909) = ( 45904 × 45909) / 1
LCM(45904,45909) = 2107406736 / 1
LCM(45904,45909) = 2107406736

Least Common Multiple (LCM) of 45904 and 45909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45904 and 45909. First we will calculate the prime factors of 45904 and 45909.

Prime Factorization of 45904

Prime Factorization of 45909

Now multiplying the highest exponent prime factors to calculate the LCM of 45904 and 45909.

LCM(45904,45909) = 2⁴ × 19¹ × 151¹ × 3² × 5101¹
LCM(45904,45909) = 2107406736