What is the Least Common Multiple of 45804 and 45823?

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 45804 and 45823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45804 and 45823, than apply into the LCM equation.

GCF(45804,45823) = 1
LCM(45804,45823) = ( 45804 × 45823) / 1
LCM(45804,45823) = 2098876692 / 1
LCM(45804,45823) = 2098876692

Least Common Multiple (LCM) of 45804 and 45823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45804 and 45823. First we will calculate the prime factors of 45804 and 45823.

Prime Factorization of 45804

Prime Factorization of 45823

Now multiplying the highest exponent prime factors to calculate the LCM of 45804 and 45823.

LCM(45804,45823) = 2² × 3¹ × 11¹ × 347¹ × 45823¹
LCM(45804,45823) = 2098876692