What is the Least Common Multiple of 4824 and 4832?

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 4824 and 4832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4824 and 4832, than apply into the LCM equation.

GCF(4824,4832) = 8
LCM(4824,4832) = ( 4824 × 4832) / 8
LCM(4824,4832) = 23309568 / 8
LCM(4824,4832) = 2913696

Least Common Multiple (LCM) of 4824 and 4832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4824 and 4832. First we will calculate the prime factors of 4824 and 4832.

Prime Factorization of 4824

Prime Factorization of 4832

Now multiplying the highest exponent prime factors to calculate the LCM of 4824 and 4832.

LCM(4824,4832) = 2⁵ × 3² × 67¹ × 151¹
LCM(4824,4832) = 2913696