What is the Least Common Multiple of 45307 and 45324?

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 45307 and 45324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45307 and 45324, than apply into the LCM equation.

GCF(45307,45324) = 1
LCM(45307,45324) = ( 45307 × 45324) / 1
LCM(45307,45324) = 2053494468 / 1
LCM(45307,45324) = 2053494468

Least Common Multiple (LCM) of 45307 and 45324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45307 and 45324. First we will calculate the prime factors of 45307 and 45324.

Prime Factorization of 45307

Prime Factorization of 45324

Now multiplying the highest exponent prime factors to calculate the LCM of 45307 and 45324.

LCM(45307,45324) = 45307¹ × 2² × 3² × 1259¹
LCM(45307,45324) = 2053494468