What is the Least Common Multiple of 45728 and 45746?

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 45728 and 45746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45728 and 45746, than apply into the LCM equation.

GCF(45728,45746) = 2
LCM(45728,45746) = ( 45728 × 45746) / 2
LCM(45728,45746) = 2091873088 / 2
LCM(45728,45746) = 1045936544

Least Common Multiple (LCM) of 45728 and 45746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45728 and 45746. First we will calculate the prime factors of 45728 and 45746.

Prime Factorization of 45728

Prime Factorization of 45746

Now multiplying the highest exponent prime factors to calculate the LCM of 45728 and 45746.

LCM(45728,45746) = 2⁵ × 1429¹ × 89¹ × 257¹
LCM(45728,45746) = 1045936544