What is the Least Common Multiple of 48801 and 48816?

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 48801 and 48816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48801 and 48816, than apply into the LCM equation.

GCF(48801,48816) = 3
LCM(48801,48816) = ( 48801 × 48816) / 3
LCM(48801,48816) = 2382269616 / 3
LCM(48801,48816) = 794089872

Least Common Multiple (LCM) of 48801 and 48816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48801 and 48816. First we will calculate the prime factors of 48801 and 48816.

Prime Factorization of 48801

Prime Factorization of 48816

Now multiplying the highest exponent prime factors to calculate the LCM of 48801 and 48816.

LCM(48801,48816) = 3³ × 16267¹ × 2⁴ × 113¹
LCM(48801,48816) = 794089872