What is the Least Common Multiple of 45072 and 45078?

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 45072 and 45078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45072 and 45078, than apply into the LCM equation.

GCF(45072,45078) = 6
LCM(45072,45078) = ( 45072 × 45078) / 6
LCM(45072,45078) = 2031755616 / 6
LCM(45072,45078) = 338625936

Least Common Multiple (LCM) of 45072 and 45078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45072 and 45078. First we will calculate the prime factors of 45072 and 45078.

Prime Factorization of 45072

Prime Factorization of 45078

Now multiplying the highest exponent prime factors to calculate the LCM of 45072 and 45078.

LCM(45072,45078) = 2⁴ × 3² × 313¹ × 11¹ × 683¹
LCM(45072,45078) = 338625936