What is the Least Common Multiple of 30738 and 30753?

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 30753 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 30753, than apply into the LCM equation.

GCF(30738,30753) = 3
LCM(30738,30753) = ( 30738 × 30753) / 3
LCM(30738,30753) = 945285714 / 3
LCM(30738,30753) = 315095238

Least Common Multiple (LCM) of 30738 and 30753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30738 and 30753. First we will calculate the prime factors of 30738 and 30753.

Prime Factorization of 30738

Prime Factorization of 30753

Now multiplying the highest exponent prime factors to calculate the LCM of 30738 and 30753.

LCM(30738,30753) = 2¹ × 3³ × 47¹ × 109¹ × 17¹ × 67¹
LCM(30738,30753) = 315095238