What is the Least Common Multiple of 38464 and 38478?

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 38464 and 38478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38464 and 38478, than apply into the LCM equation.

GCF(38464,38478) = 2
LCM(38464,38478) = ( 38464 × 38478) / 2
LCM(38464,38478) = 1480017792 / 2
LCM(38464,38478) = 740008896

Least Common Multiple (LCM) of 38464 and 38478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38464 and 38478. First we will calculate the prime factors of 38464 and 38478.

Prime Factorization of 38464

Prime Factorization of 38478

Now multiplying the highest exponent prime factors to calculate the LCM of 38464 and 38478.

LCM(38464,38478) = 2⁶ × 601¹ × 3¹ × 11² × 53¹
LCM(38464,38478) = 740008896