What is the Least Common Multiple of 38478 and 38496?

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 38478 and 38496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38478 and 38496, than apply into the LCM equation.

GCF(38478,38496) = 6
LCM(38478,38496) = ( 38478 × 38496) / 6
LCM(38478,38496) = 1481249088 / 6
LCM(38478,38496) = 246874848

Least Common Multiple (LCM) of 38478 and 38496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38478 and 38496. First we will calculate the prime factors of 38478 and 38496.

Prime Factorization of 38478

Prime Factorization of 38496

Now multiplying the highest exponent prime factors to calculate the LCM of 38478 and 38496.

LCM(38478,38496) = 2⁵ × 3¹ × 11² × 53¹ × 401¹
LCM(38478,38496) = 246874848