What is the Least Common Multiple of 30752 and 30762?

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 30752 and 30762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30752 and 30762, than apply into the LCM equation.

GCF(30752,30762) = 2
LCM(30752,30762) = ( 30752 × 30762) / 2
LCM(30752,30762) = 945993024 / 2
LCM(30752,30762) = 472996512

Least Common Multiple (LCM) of 30752 and 30762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30752 and 30762. First we will calculate the prime factors of 30752 and 30762.

Prime Factorization of 30752

Prime Factorization of 30762

Now multiplying the highest exponent prime factors to calculate the LCM of 30752 and 30762.

LCM(30752,30762) = 2⁵ × 31² × 3² × 1709¹
LCM(30752,30762) = 472996512