What is the Least Common Multiple of 48828 and 48832?

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 48828 and 48832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48828 and 48832, than apply into the LCM equation.

GCF(48828,48832) = 4
LCM(48828,48832) = ( 48828 × 48832) / 4
LCM(48828,48832) = 2384368896 / 4
LCM(48828,48832) = 596092224

Least Common Multiple (LCM) of 48828 and 48832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48828 and 48832. First we will calculate the prime factors of 48828 and 48832.

Prime Factorization of 48828

Prime Factorization of 48832

Now multiplying the highest exponent prime factors to calculate the LCM of 48828 and 48832.

LCM(48828,48832) = 2⁶ × 3¹ × 13¹ × 313¹ × 7¹ × 109¹
LCM(48828,48832) = 596092224