What is the Least Common Multiple of 30478 and 30488?

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 30478 and 30488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30478 and 30488, than apply into the LCM equation.

GCF(30478,30488) = 2
LCM(30478,30488) = ( 30478 × 30488) / 2
LCM(30478,30488) = 929213264 / 2
LCM(30478,30488) = 464606632

Least Common Multiple (LCM) of 30478 and 30488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30478 and 30488. First we will calculate the prime factors of 30478 and 30488.

Prime Factorization of 30478

Prime Factorization of 30488

Now multiplying the highest exponent prime factors to calculate the LCM of 30478 and 30488.

LCM(30478,30488) = 2³ × 7² × 311¹ × 37¹ × 103¹
LCM(30478,30488) = 464606632