What is the Least Common Multiple of 30738 and 30752?

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 30738 and 30752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30738 and 30752, than apply into the LCM equation.

GCF(30738,30752) = 2
LCM(30738,30752) = ( 30738 × 30752) / 2
LCM(30738,30752) = 945254976 / 2
LCM(30738,30752) = 472627488

Least Common Multiple (LCM) of 30738 and 30752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30738 and 30752. First we will calculate the prime factors of 30738 and 30752.

Prime Factorization of 30738

Prime Factorization of 30752

Now multiplying the highest exponent prime factors to calculate the LCM of 30738 and 30752.

LCM(30738,30752) = 2⁵ × 3¹ × 47¹ × 109¹ × 31²
LCM(30738,30752) = 472627488