What is the Least Common Multiple of 45324 and 45344?

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 45324 and 45344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45324 and 45344, than apply into the LCM equation.

GCF(45324,45344) = 4
LCM(45324,45344) = ( 45324 × 45344) / 4
LCM(45324,45344) = 2055171456 / 4
LCM(45324,45344) = 513792864

Least Common Multiple (LCM) of 45324 and 45344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45324 and 45344. First we will calculate the prime factors of 45324 and 45344.

Prime Factorization of 45324

Prime Factorization of 45344

Now multiplying the highest exponent prime factors to calculate the LCM of 45324 and 45344.

LCM(45324,45344) = 2⁵ × 3² × 1259¹ × 13¹ × 109¹
LCM(45324,45344) = 513792864