What is the Least Common Multiple of 45324 and 45338?

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 45338 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 45338, than apply into the LCM equation.

GCF(45324,45338) = 2
LCM(45324,45338) = ( 45324 × 45338) / 2
LCM(45324,45338) = 2054899512 / 2
LCM(45324,45338) = 1027449756

Least Common Multiple (LCM) of 45324 and 45338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45324 and 45338. First we will calculate the prime factors of 45324 and 45338.

Prime Factorization of 45324

Prime Factorization of 45338

Now multiplying the highest exponent prime factors to calculate the LCM of 45324 and 45338.

LCM(45324,45338) = 2² × 3² × 1259¹ × 22669¹
LCM(45324,45338) = 1027449756