What is the Least Common Multiple of 45048 and 45057?

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 45048 and 45057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45048 and 45057, than apply into the LCM equation.

GCF(45048,45057) = 3
LCM(45048,45057) = ( 45048 × 45057) / 3
LCM(45048,45057) = 2029727736 / 3
LCM(45048,45057) = 676575912

Least Common Multiple (LCM) of 45048 and 45057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45048 and 45057. First we will calculate the prime factors of 45048 and 45057.

Prime Factorization of 45048

Prime Factorization of 45057

Now multiplying the highest exponent prime factors to calculate the LCM of 45048 and 45057.

LCM(45048,45057) = 2³ × 3¹ × 1877¹ × 23¹ × 653¹
LCM(45048,45057) = 676575912