What is the Least Common Multiple of 30464 and 30478?

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 30464 and 30478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30464 and 30478, than apply into the LCM equation.

GCF(30464,30478) = 14
LCM(30464,30478) = ( 30464 × 30478) / 14
LCM(30464,30478) = 928481792 / 14
LCM(30464,30478) = 66320128

Least Common Multiple (LCM) of 30464 and 30478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30464 and 30478. First we will calculate the prime factors of 30464 and 30478.

Prime Factorization of 30464

Prime Factorization of 30478

Now multiplying the highest exponent prime factors to calculate the LCM of 30464 and 30478.

LCM(30464,30478) = 2⁸ × 7² × 17¹ × 311¹
LCM(30464,30478) = 66320128