What is the Least Common Multiple of 45060 and 45072?

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 45060 and 45072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45060 and 45072, than apply into the LCM equation.

GCF(45060,45072) = 12
LCM(45060,45072) = ( 45060 × 45072) / 12
LCM(45060,45072) = 2030944320 / 12
LCM(45060,45072) = 169245360

Least Common Multiple (LCM) of 45060 and 45072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45060 and 45072. First we will calculate the prime factors of 45060 and 45072.

Prime Factorization of 45060

Prime Factorization of 45072

Now multiplying the highest exponent prime factors to calculate the LCM of 45060 and 45072.

LCM(45060,45072) = 2⁴ × 3² × 5¹ × 751¹ × 313¹
LCM(45060,45072) = 169245360