What is the Least Common Multiple of 48816 and 48828?

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 48816 and 48828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48816 and 48828, than apply into the LCM equation.

GCF(48816,48828) = 12
LCM(48816,48828) = ( 48816 × 48828) / 12
LCM(48816,48828) = 2383587648 / 12
LCM(48816,48828) = 198632304

Least Common Multiple (LCM) of 48816 and 48828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48816 and 48828. First we will calculate the prime factors of 48816 and 48828.

Prime Factorization of 48816

Prime Factorization of 48828

Now multiplying the highest exponent prime factors to calculate the LCM of 48816 and 48828.

LCM(48816,48828) = 2⁴ × 3³ × 113¹ × 13¹ × 313¹
LCM(48816,48828) = 198632304